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Finding the Fourth Proportional to 9,688.70, 14,592.89 and 9,222.14

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Solution

The fourth proportional to 9,688.70, 14,592.89 and 9,222.14 is: 13,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.70 : 14,592.89 = 9,222.14 : x
  2. Step 2: Convert to fraction form
    9,688.70/14,592.89 = 9,222.14/x
  3. Step 3: Cross multiply
    9,688.70x = 14,592.89 × 9,222.14
  4. Step 4: Simplify right side
    9,688.70x = 134,577,555.51
  5. Step 5: Solve for x
    x = 134,577,555.51/9,688.70
  6. Step 6: Final answer
    x = 13,890.16

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.