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Finding the Fourth Proportional to 9,161.68, 12,643.12 and 5,182.71

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Solution

The fourth proportional to 9,161.68, 12,643.12 and 5,182.71 is: 7,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.68 : 12,643.12 = 5,182.71 : x
  2. Step 2: Convert to fraction form
    9,161.68/12,643.12 = 5,182.71/x
  3. Step 3: Cross multiply
    9,161.68x = 12,643.12 × 5,182.71
  4. Step 4: Simplify right side
    9,161.68x = 65,525,624.46
  5. Step 5: Solve for x
    x = 65,525,624.46/9,161.68
  6. Step 6: Final answer
    x = 7,152.14

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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.