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Finding the Fourth Proportional to 24,378.16, 36,567.42 and 6,848.32

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Solution

The fourth proportional to 24,378.16, 36,567.42 and 6,848.32 is: 10,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.16 : 36,567.42 = 6,848.32 : x
  2. Step 2: Convert to fraction form
    24,378.16/36,567.42 = 6,848.32/x
  3. Step 3: Cross multiply
    24,378.16x = 36,567.42 × 6,848.32
  4. Step 4: Simplify right side
    24,378.16x = 250,425,393.73
  5. Step 5: Solve for x
    x = 250,425,393.73/24,378.16
  6. Step 6: Final answer
    x = 10,272.53

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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.