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Finding the Fourth Proportional to 11,142.70, 16,708.65 and 6,207.10

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Solution

The fourth proportional to 11,142.70, 16,708.65 and 6,207.10 is: 9,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.70 : 16,708.65 = 6,207.10 : x
  2. Step 2: Convert to fraction form
    11,142.70/16,708.65 = 6,207.10/x
  3. Step 3: Cross multiply
    11,142.70x = 16,708.65 × 6,207.10
  4. Step 4: Simplify right side
    11,142.70x = 103,712,261.42
  5. Step 5: Solve for x
    x = 103,712,261.42/11,142.70
  6. Step 6: Final answer
    x = 9,307.64

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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.