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Finding the Fourth Proportional to 9,143.13, 12,615.95 and 5,164.16

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Solution

The fourth proportional to 9,143.13, 12,615.95 and 5,164.16 is: 7,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.13 : 12,615.95 = 5,164.16 : x
  2. Step 2: Convert to fraction form
    9,143.13/12,615.95 = 5,164.16/x
  3. Step 3: Cross multiply
    9,143.13x = 12,615.95 × 5,164.16
  4. Step 4: Simplify right side
    9,143.13x = 65,150,734.18
  5. Step 5: Solve for x
    x = 65,150,734.18/9,143.13
  6. Step 6: Final answer
    x = 7,125.65

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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.