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Finding the Fourth Proportional to 6,572.60, 9,065.06 and 4,214.92

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Solution

The fourth proportional to 6,572.60, 9,065.06 and 4,214.92 is: 5,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.60 : 9,065.06 = 4,214.92 : x
  2. Step 2: Convert to fraction form
    6,572.60/9,065.06 = 4,214.92/x
  3. Step 3: Cross multiply
    6,572.60x = 9,065.06 × 4,214.92
  4. Step 4: Simplify right side
    6,572.60x = 38,208,502.70
  5. Step 5: Solve for x
    x = 38,208,502.70/6,572.60
  6. Step 6: Final answer
    x = 5,813.30

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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.