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Finding the Fourth Proportional to 6,340.75, 9,507.10 and 5,562.32

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Solution

The fourth proportional to 6,340.75, 9,507.10 and 5,562.32 is: 8,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.75 : 9,507.10 = 5,562.32 : x
  2. Step 2: Convert to fraction form
    6,340.75/9,507.10 = 5,562.32/x
  3. Step 3: Cross multiply
    6,340.75x = 9,507.10 × 5,562.32
  4. Step 4: Simplify right side
    6,340.75x = 52,881,484.94
  5. Step 5: Solve for x
    x = 52,881,484.94/6,340.75
  6. Step 6: Final answer
    x = 8,339.94

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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.