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Finding the Fourth Proportional to 15,778.52, 23,673.16 and 7,019.54

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Solution

The fourth proportional to 15,778.52, 23,673.16 and 7,019.54 is: 10,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.52 : 23,673.16 = 7,019.54 : x
  2. Step 2: Convert to fraction form
    15,778.52/23,673.16 = 7,019.54/x
  3. Step 3: Cross multiply
    15,778.52x = 23,673.16 × 7,019.54
  4. Step 4: Simplify right side
    15,778.52x = 166,174,693.55
  5. Step 5: Solve for x
    x = 166,174,693.55/15,778.52
  6. Step 6: Final answer
    x = 10,531.70

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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.