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Finding the Fourth Proportional to 9,705.14, 14,557.72 and 7,748.18

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Solution

The fourth proportional to 9,705.14, 14,557.72 and 7,748.18 is: 11,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.14 : 14,557.72 = 7,748.18 : x
  2. Step 2: Convert to fraction form
    9,705.14/14,557.72 = 7,748.18/x
  3. Step 3: Cross multiply
    9,705.14x = 14,557.72 × 7,748.18
  4. Step 4: Simplify right side
    9,705.14x = 112,795,832.60
  5. Step 5: Solve for x
    x = 112,795,832.60/9,705.14
  6. Step 6: Final answer
    x = 11,622.27

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.