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Finding the Fourth Proportional to 34,176.60, 51,264.90 and 9,216.60

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Solution

The fourth proportional to 34,176.60, 51,264.90 and 9,216.60 is: 13,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.60 : 51,264.90 = 9,216.60 : x
  2. Step 2: Convert to fraction form
    34,176.60/51,264.90 = 9,216.60/x
  3. Step 3: Cross multiply
    34,176.60x = 51,264.90 × 9,216.60
  4. Step 4: Simplify right side
    34,176.60x = 472,488,077.34
  5. Step 5: Solve for x
    x = 472,488,077.34/34,176.60
  6. Step 6: Final answer
    x = 13,824.90

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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.