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Finding the Fourth Proportional to 6,432.06, 9,594.02 and 5,841.48

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Solution

The fourth proportional to 6,432.06, 9,594.02 and 5,841.48 is: 8,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.06 : 9,594.02 = 5,841.48 : x
  2. Step 2: Convert to fraction form
    6,432.06/9,594.02 = 5,841.48/x
  3. Step 3: Cross multiply
    6,432.06x = 9,594.02 × 5,841.48
  4. Step 4: Simplify right side
    6,432.06x = 56,043,246.74
  5. Step 5: Solve for x
    x = 56,043,246.74/6,432.06
  6. Step 6: Final answer
    x = 8,713.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.