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Finding the Fourth Proportional to 9,572.58, 14,356.62 and 3,648.24

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Solution

The fourth proportional to 9,572.58, 14,356.62 and 3,648.24 is: 5,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.58 : 14,356.62 = 3,648.24 : x
  2. Step 2: Convert to fraction form
    9,572.58/14,356.62 = 3,648.24/x
  3. Step 3: Cross multiply
    9,572.58x = 14,356.62 × 3,648.24
  4. Step 4: Simplify right side
    9,572.58x = 52,376,395.35
  5. Step 5: Solve for x
    x = 52,376,395.35/9,572.58
  6. Step 6: Final answer
    x = 5,471.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.