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Finding the Fourth Proportional to 9,664.62, 13,335.03 and 6,132.30

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Solution

The fourth proportional to 9,664.62, 13,335.03 and 6,132.30 is: 8,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.62 : 13,335.03 = 6,132.30 : x
  2. Step 2: Convert to fraction form
    9,664.62/13,335.03 = 6,132.30/x
  3. Step 3: Cross multiply
    9,664.62x = 13,335.03 × 6,132.30
  4. Step 4: Simplify right side
    9,664.62x = 81,774,404.47
  5. Step 5: Solve for x
    x = 81,774,404.47/9,664.62
  6. Step 6: Final answer
    x = 8,461.21

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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.