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Finding the Fourth Proportional to 8,729.40, 13,094.10 and 4,121.40

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Solution

The fourth proportional to 8,729.40, 13,094.10 and 4,121.40 is: 6,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.40 : 13,094.10 = 4,121.40 : x
  2. Step 2: Convert to fraction form
    8,729.40/13,094.10 = 4,121.40/x
  3. Step 3: Cross multiply
    8,729.40x = 13,094.10 × 4,121.40
  4. Step 4: Simplify right side
    8,729.40x = 53,966,023.74
  5. Step 5: Solve for x
    x = 53,966,023.74/8,729.40
  6. Step 6: Final answer
    x = 6,182.10

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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.