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Finding the Fourth Proportional to 10,499.97, 15,673.12 and 9,254.43

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Solution

The fourth proportional to 10,499.97, 15,673.12 and 9,254.43 is: 13,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.97 : 15,673.12 = 9,254.43 : x
  2. Step 2: Convert to fraction form
    10,499.97/15,673.12 = 9,254.43/x
  3. Step 3: Cross multiply
    10,499.97x = 15,673.12 × 9,254.43
  4. Step 4: Simplify right side
    10,499.97x = 145,045,768.79
  5. Step 5: Solve for x
    x = 145,045,768.79/10,499.97
  6. Step 6: Final answer
    x = 13,813.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.