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Finding the Fourth Proportional to 17,711.40, 26,567.10 and 7,840.20

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Solution

The fourth proportional to 17,711.40, 26,567.10 and 7,840.20 is: 11,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.40 : 26,567.10 = 7,840.20 : x
  2. Step 2: Convert to fraction form
    17,711.40/26,567.10 = 7,840.20/x
  3. Step 3: Cross multiply
    17,711.40x = 26,567.10 × 7,840.20
  4. Step 4: Simplify right side
    17,711.40x = 208,291,377.42
  5. Step 5: Solve for x
    x = 208,291,377.42/17,711.40
  6. Step 6: Final answer
    x = 11,760.30

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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.