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Finding the Fourth Proportional to 9,312.56, 12,847.38 and 7,890.20

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Solution

The fourth proportional to 9,312.56, 12,847.38 and 7,890.20 is: 10,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.56 : 12,847.38 = 7,890.20 : x
  2. Step 2: Convert to fraction form
    9,312.56/12,847.38 = 7,890.20/x
  3. Step 3: Cross multiply
    9,312.56x = 12,847.38 × 7,890.20
  4. Step 4: Simplify right side
    9,312.56x = 101,368,397.68
  5. Step 5: Solve for x
    x = 101,368,397.68/9,312.56
  6. Step 6: Final answer
    x = 10,885.13

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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.