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Finding the Fourth Proportional to 24,378.52, 36,567.64 and 6,848.24

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Solution

The fourth proportional to 24,378.52, 36,567.64 and 6,848.24 is: 10,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.52 : 36,567.64 = 6,848.24 : x
  2. Step 2: Convert to fraction form
    24,378.52/36,567.64 = 6,848.24/x
  3. Step 3: Cross multiply
    24,378.52x = 36,567.64 × 6,848.24
  4. Step 4: Simplify right side
    24,378.52x = 250,423,974.95
  5. Step 5: Solve for x
    x = 250,423,974.95/24,378.52
  6. Step 6: Final answer
    x = 10,272.32

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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.