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Finding the Fourth Proportional to 10,457.73, 15,691.95 and 6,950.16

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Solution

The fourth proportional to 10,457.73, 15,691.95 and 6,950.16 is: 10,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.73 : 15,691.95 = 6,950.16 : x
  2. Step 2: Convert to fraction form
    10,457.73/15,691.95 = 6,950.16/x
  3. Step 3: Cross multiply
    10,457.73x = 15,691.95 × 6,950.16
  4. Step 4: Simplify right side
    10,457.73x = 109,061,563.21
  5. Step 5: Solve for x
    x = 109,061,563.21/10,457.73
  6. Step 6: Final answer
    x = 10,428.80

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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.