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Finding the Fourth Proportional to 6,572.47, 9,064.86 and 4,214.83

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Solution

The fourth proportional to 6,572.47, 9,064.86 and 4,214.83 is: 5,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.47 : 9,064.86 = 4,214.83 : x
  2. Step 2: Convert to fraction form
    6,572.47/9,064.86 = 4,214.83/x
  3. Step 3: Cross multiply
    6,572.47x = 9,064.86 × 4,214.83
  4. Step 4: Simplify right side
    6,572.47x = 38,206,798.55
  5. Step 5: Solve for x
    x = 38,206,798.55/6,572.47
  6. Step 6: Final answer
    x = 5,813.16

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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.