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Finding the Fourth Proportional to 9,882.66, 13,638.07 and 5,406.40

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Solution

The fourth proportional to 9,882.66, 13,638.07 and 5,406.40 is: 7,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.66 : 13,638.07 = 5,406.40 : x
  2. Step 2: Convert to fraction form
    9,882.66/13,638.07 = 5,406.40/x
  3. Step 3: Cross multiply
    9,882.66x = 13,638.07 × 5,406.40
  4. Step 4: Simplify right side
    9,882.66x = 73,732,808.74
  5. Step 5: Solve for x
    x = 73,732,808.74/9,882.66
  6. Step 6: Final answer
    x = 7,460.83

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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.