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Finding the Fourth Proportional to 6,385.52, 9,569.97 and 3,574.24

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Solution

The fourth proportional to 6,385.52, 9,569.97 and 3,574.24 is: 5,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.52 : 9,569.97 = 3,574.24 : x
  2. Step 2: Convert to fraction form
    6,385.52/9,569.97 = 3,574.24/x
  3. Step 3: Cross multiply
    6,385.52x = 9,569.97 × 3,574.24
  4. Step 4: Simplify right side
    6,385.52x = 34,205,303.85
  5. Step 5: Solve for x
    x = 34,205,303.85/6,385.52
  6. Step 6: Final answer
    x = 5,356.70

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1.5x scale

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.