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Finding the Fourth Proportional to 10,867.60, 16,336.20 and 10,097.20

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Solution

The fourth proportional to 10,867.60, 16,336.20 and 10,097.20 is: 15,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.60 : 16,336.20 = 10,097.20 : x
  2. Step 2: Convert to fraction form
    10,867.60/16,336.20 = 10,097.20/x
  3. Step 3: Cross multiply
    10,867.60x = 16,336.20 × 10,097.20
  4. Step 4: Simplify right side
    10,867.60x = 164,949,878.64
  5. Step 5: Solve for x
    x = 164,949,878.64/10,867.60
  6. Step 6: Final answer
    x = 15,178.13

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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.