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Finding the Fourth Proportional to 9,134.13, 13,701.10 and 2,894.14

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Solution

The fourth proportional to 9,134.13, 13,701.10 and 2,894.14 is: 4,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.13 : 13,701.10 = 2,894.14 : x
  2. Step 2: Convert to fraction form
    9,134.13/13,701.10 = 2,894.14/x
  3. Step 3: Cross multiply
    9,134.13x = 13,701.10 × 2,894.14
  4. Step 4: Simplify right side
    9,134.13x = 39,652,901.55
  5. Step 5: Solve for x
    x = 39,652,901.55/9,134.13
  6. Step 6: Final answer
    x = 4,341.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.