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Finding the Fourth Proportional to 9,358.11, 12,916.77 and 5,819.22

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Solution

The fourth proportional to 9,358.11, 12,916.77 and 5,819.22 is: 8,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.11 : 12,916.77 = 5,819.22 : x
  2. Step 2: Convert to fraction form
    9,358.11/12,916.77 = 5,819.22/x
  3. Step 3: Cross multiply
    9,358.11x = 12,916.77 × 5,819.22
  4. Step 4: Simplify right side
    9,358.11x = 75,165,526.32
  5. Step 5: Solve for x
    x = 75,165,526.32/9,358.11
  6. Step 6: Final answer
    x = 8,032.13

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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.