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Finding the Fourth Proportional to 10,552.68, 14,565.59 and 6,571.44

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Solution

The fourth proportional to 10,552.68, 14,565.59 and 6,571.44 is: 9,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.68 : 14,565.59 = 6,571.44 : x
  2. Step 2: Convert to fraction form
    10,552.68/14,565.59 = 6,571.44/x
  3. Step 3: Cross multiply
    10,552.68x = 14,565.59 × 6,571.44
  4. Step 4: Simplify right side
    10,552.68x = 95,716,867.89
  5. Step 5: Solve for x
    x = 95,716,867.89/10,552.68
  6. Step 6: Final answer
    x = 9,070.38

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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.