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Finding the Fourth Proportional to 15,697.40, 23,548.03 and 5,164.71

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Solution

The fourth proportional to 15,697.40, 23,548.03 and 5,164.71 is: 7,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.40 : 23,548.03 = 5,164.71 : x
  2. Step 2: Convert to fraction form
    15,697.40/23,548.03 = 5,164.71/x
  3. Step 3: Cross multiply
    15,697.40x = 23,548.03 × 5,164.71
  4. Step 4: Simplify right side
    15,697.40x = 121,618,644.80
  5. Step 5: Solve for x
    x = 121,618,644.80/15,697.40
  6. Step 6: Final answer
    x = 7,747.70

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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.