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Finding the Fourth Proportional to 11,416.80, 17,114.40 and 6,740.40

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Solution

The fourth proportional to 11,416.80, 17,114.40 and 6,740.40 is: 10,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.80 : 17,114.40 = 6,740.40 : x
  2. Step 2: Convert to fraction form
    11,416.80/17,114.40 = 6,740.40/x
  3. Step 3: Cross multiply
    11,416.80x = 17,114.40 × 6,740.40
  4. Step 4: Simplify right side
    11,416.80x = 115,357,901.76
  5. Step 5: Solve for x
    x = 115,357,901.76/11,416.80
  6. Step 6: Final answer
    x = 10,104.22

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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.