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Finding the Fourth Proportional to 10,655.32, 14,693.18 and 7,064.92

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Solution

The fourth proportional to 10,655.32, 14,693.18 and 7,064.92 is: 9,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.32 : 14,693.18 = 7,064.92 : x
  2. Step 2: Convert to fraction form
    10,655.32/14,693.18 = 7,064.92/x
  3. Step 3: Cross multiply
    10,655.32x = 14,693.18 × 7,064.92
  4. Step 4: Simplify right side
    10,655.32x = 103,806,141.25
  5. Step 5: Solve for x
    x = 103,806,141.25/10,655.32
  6. Step 6: Final answer
    x = 9,742.19

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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.