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Finding the Fourth Proportional to 10,557.66, 14,569.14 and 5,841.66

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Solution

The fourth proportional to 10,557.66, 14,569.14 and 5,841.66 is: 8,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.66 : 14,569.14 = 5,841.66 : x
  2. Step 2: Convert to fraction form
    10,557.66/14,569.14 = 5,841.66/x
  3. Step 3: Cross multiply
    10,557.66x = 14,569.14 × 5,841.66
  4. Step 4: Simplify right side
    10,557.66x = 85,107,962.37
  5. Step 5: Solve for x
    x = 85,107,962.37/10,557.66
  6. Step 6: Final answer
    x = 8,061.25

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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.