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Finding the Fourth Proportional to 9,062.40, 13,577.40 and 7,766.40

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Solution

The fourth proportional to 9,062.40, 13,577.40 and 7,766.40 is: 11,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.40 : 13,577.40 = 7,766.40 : x
  2. Step 2: Convert to fraction form
    9,062.40/13,577.40 = 7,766.40/x
  3. Step 3: Cross multiply
    9,062.40x = 13,577.40 × 7,766.40
  4. Step 4: Simplify right side
    9,062.40x = 105,447,519.36
  5. Step 5: Solve for x
    x = 105,447,519.36/9,062.40
  6. Step 6: Final answer
    x = 11,635.72

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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.