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Finding the Fourth Proportional to 10,911.60, 16,367.40 and 7,412.40

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Solution

The fourth proportional to 10,911.60, 16,367.40 and 7,412.40 is: 11,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.60 : 16,367.40 = 7,412.40 : x
  2. Step 2: Convert to fraction form
    10,911.60/16,367.40 = 7,412.40/x
  3. Step 3: Cross multiply
    10,911.60x = 16,367.40 × 7,412.40
  4. Step 4: Simplify right side
    10,911.60x = 121,321,715.76
  5. Step 5: Solve for x
    x = 121,321,715.76/10,911.60
  6. Step 6: Final answer
    x = 11,118.60

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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.