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Finding the Fourth Proportional to 22,337.70, 33,510.20 and 7,547.50

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Solution

The fourth proportional to 22,337.70, 33,510.20 and 7,547.50 is: 11,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.70 : 33,510.20 = 7,547.50 : x
  2. Step 2: Convert to fraction form
    22,337.70/33,510.20 = 7,547.50/x
  3. Step 3: Cross multiply
    22,337.70x = 33,510.20 × 7,547.50
  4. Step 4: Simplify right side
    22,337.70x = 252,918,234.50
  5. Step 5: Solve for x
    x = 252,918,234.50/22,337.70
  6. Step 6: Final answer
    x = 11,322.48

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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.