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Finding the Fourth Proportional to 9,235.10, 12,740 and 6,713.30

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Solution

The fourth proportional to 9,235.10, 12,740 and 6,713.30 is: 9,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.10 : 12,740 = 6,713.30 : x
  2. Step 2: Convert to fraction form
    9,235.10/12,740 = 6,713.30/x
  3. Step 3: Cross multiply
    9,235.10x = 12,740 × 6,713.30
  4. Step 4: Simplify right side
    9,235.10x = 85,527,442
  5. Step 5: Solve for x
    x = 85,527,442/9,235.10
  6. Step 6: Final answer
    x = 9,261.13

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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.