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Finding the Fourth Proportional to 15,296.91, 22,931.78 and 5,434.89

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Solution

The fourth proportional to 15,296.91, 22,931.78 and 5,434.89 is: 8,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.91 : 22,931.78 = 5,434.89 : x
  2. Step 2: Convert to fraction form
    15,296.91/22,931.78 = 5,434.89/x
  3. Step 3: Cross multiply
    15,296.91x = 22,931.78 × 5,434.89
  4. Step 4: Simplify right side
    15,296.91x = 124,631,674.63
  5. Step 5: Solve for x
    x = 124,631,674.63/15,296.91
  6. Step 6: Final answer
    x = 8,147.51

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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.