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Finding the Fourth Proportional to 24,101, 36,150.45 and 6,570.78

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Solution

The fourth proportional to 24,101, 36,150.45 and 6,570.78 is: 9,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101 : 36,150.45 = 6,570.78 : x
  2. Step 2: Convert to fraction form
    24,101/36,150.45 = 6,570.78/x
  3. Step 3: Cross multiply
    24,101x = 36,150.45 × 6,570.78
  4. Step 4: Simplify right side
    24,101x = 237,536,653.85
  5. Step 5: Solve for x
    x = 237,536,653.85/24,101
  6. Step 6: Final answer
    x = 9,855.88

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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.