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Finding the Fourth Proportional to 10,493.19, 14,472 and 7,657.38

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Solution

The fourth proportional to 10,493.19, 14,472 and 7,657.38 is: 10,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.19 : 14,472 = 7,657.38 : x
  2. Step 2: Convert to fraction form
    10,493.19/14,472 = 7,657.38/x
  3. Step 3: Cross multiply
    10,493.19x = 14,472 × 7,657.38
  4. Step 4: Simplify right side
    10,493.19x = 110,817,603.36
  5. Step 5: Solve for x
    x = 110,817,603.36/10,493.19
  6. Step 6: Final answer
    x = 10,560.91

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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.