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Finding the Fourth Proportional to 12,272.60, 18,411.60 and 5,697.20

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Solution

The fourth proportional to 12,272.60, 18,411.60 and 5,697.20 is: 8,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.60 : 18,411.60 = 5,697.20 : x
  2. Step 2: Convert to fraction form
    12,272.60/18,411.60 = 5,697.20/x
  3. Step 3: Cross multiply
    12,272.60x = 18,411.60 × 5,697.20
  4. Step 4: Simplify right side
    12,272.60x = 104,894,567.52
  5. Step 5: Solve for x
    x = 104,894,567.52/12,272.60
  6. Step 6: Final answer
    x = 8,547.05

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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.