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Finding the Fourth Proportional to 15,209.40, 22,814.10 and 7,811.40

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Solution

The fourth proportional to 15,209.40, 22,814.10 and 7,811.40 is: 11,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.40 : 22,814.10 = 7,811.40 : x
  2. Step 2: Convert to fraction form
    15,209.40/22,814.10 = 7,811.40/x
  3. Step 3: Cross multiply
    15,209.40x = 22,814.10 × 7,811.40
  4. Step 4: Simplify right side
    15,209.40x = 178,210,060.74
  5. Step 5: Solve for x
    x = 178,210,060.74/15,209.40
  6. Step 6: Final answer
    x = 11,717.10

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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.