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Finding the Fourth Proportional to 24,008.54, 36,014.74 and 6,478.12

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Solution

The fourth proportional to 24,008.54, 36,014.74 and 6,478.12 is: 9,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008.54 : 36,014.74 = 6,478.12 : x
  2. Step 2: Convert to fraction form
    24,008.54/36,014.74 = 6,478.12/x
  3. Step 3: Cross multiply
    24,008.54x = 36,014.74 × 6,478.12
  4. Step 4: Simplify right side
    24,008.54x = 233,307,701.26
  5. Step 5: Solve for x
    x = 233,307,701.26/24,008.54
  6. Step 6: Final answer
    x = 9,717.70

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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.