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Finding the Fourth Proportional to 10,562.54, 14,569.08 and 6,582.20

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Solution

The fourth proportional to 10,562.54, 14,569.08 and 6,582.20 is: 9,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.54 : 14,569.08 = 6,582.20 : x
  2. Step 2: Convert to fraction form
    10,562.54/14,569.08 = 6,582.20/x
  3. Step 3: Cross multiply
    10,562.54x = 14,569.08 × 6,582.20
  4. Step 4: Simplify right side
    10,562.54x = 95,896,598.38
  5. Step 5: Solve for x
    x = 95,896,598.38/10,562.54
  6. Step 6: Final answer
    x = 9,078.93

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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.