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Finding the Fourth Proportional to 13,547.70, 18,695.09 and 7,497.67

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Solution

The fourth proportional to 13,547.70, 18,695.09 and 7,497.67 is: 10,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.70 : 18,695.09 = 7,497.67 : x
  2. Step 2: Convert to fraction form
    13,547.70/18,695.09 = 7,497.67/x
  3. Step 3: Cross multiply
    13,547.70x = 18,695.09 × 7,497.67
  4. Step 4: Simplify right side
    13,547.70x = 140,169,615.44
  5. Step 5: Solve for x
    x = 140,169,615.44/13,547.70
  6. Step 6: Final answer
    x = 10,346.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.