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Finding the Fourth Proportional to 11,534.96, 15,916.16 and 7,494.12

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Solution

The fourth proportional to 11,534.96, 15,916.16 and 7,494.12 is: 10,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.96 : 15,916.16 = 7,494.12 : x
  2. Step 2: Convert to fraction form
    11,534.96/15,916.16 = 7,494.12/x
  3. Step 3: Cross multiply
    11,534.96x = 15,916.16 × 7,494.12
  4. Step 4: Simplify right side
    11,534.96x = 119,277,612.98
  5. Step 5: Solve for x
    x = 119,277,612.98/11,534.96
  6. Step 6: Final answer
    x = 10,340.53

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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.