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Finding the Fourth Proportional to 6,374.64, 9,552.72 and 4,398.24

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Solution

The fourth proportional to 6,374.64, 9,552.72 and 4,398.24 is: 6,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.64 : 9,552.72 = 4,398.24 : x
  2. Step 2: Convert to fraction form
    6,374.64/9,552.72 = 4,398.24/x
  3. Step 3: Cross multiply
    6,374.64x = 9,552.72 × 4,398.24
  4. Step 4: Simplify right side
    6,374.64x = 42,015,155.21
  5. Step 5: Solve for x
    x = 42,015,155.21/6,374.64
  6. Step 6: Final answer
    x = 6,590.98

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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.