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Finding the Fourth Proportional to 11,397.50, 15,728.57 and 6,429.50

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Solution

The fourth proportional to 11,397.50, 15,728.57 and 6,429.50 is: 8,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.50 : 15,728.57 = 6,429.50 : x
  2. Step 2: Convert to fraction form
    11,397.50/15,728.57 = 6,429.50/x
  3. Step 3: Cross multiply
    11,397.50x = 15,728.57 × 6,429.50
  4. Step 4: Simplify right side
    11,397.50x = 101,126,840.82
  5. Step 5: Solve for x
    x = 101,126,840.82/11,397.50
  6. Step 6: Final answer
    x = 8,872.72

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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.