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Finding the Fourth Proportional to 10,063.92, 13,874.76 and 8,264.76

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Solution

The fourth proportional to 10,063.92, 13,874.76 and 8,264.76 is: 11,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.92 : 13,874.76 = 8,264.76 : x
  2. Step 2: Convert to fraction form
    10,063.92/13,874.76 = 8,264.76/x
  3. Step 3: Cross multiply
    10,063.92x = 13,874.76 × 8,264.76
  4. Step 4: Simplify right side
    10,063.92x = 114,671,561.46
  5. Step 5: Solve for x
    x = 114,671,561.46/10,063.92
  6. Step 6: Final answer
    x = 11,394.32

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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.