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Finding the Fourth Proportional to 11,710.72, 16,166.24 and 6,929.16

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Solution

The fourth proportional to 11,710.72, 16,166.24 and 6,929.16 is: 9,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.72 : 16,166.24 = 6,929.16 : x
  2. Step 2: Convert to fraction form
    11,710.72/16,166.24 = 6,929.16/x
  3. Step 3: Cross multiply
    11,710.72x = 16,166.24 × 6,929.16
  4. Step 4: Simplify right side
    11,710.72x = 112,018,463.56
  5. Step 5: Solve for x
    x = 112,018,463.56/11,710.72
  6. Step 6: Final answer
    x = 9,565.46

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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.