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Finding the Fourth Proportional to 24,000.78, 35,997.02 and 6,466.50

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Solution

The fourth proportional to 24,000.78, 35,997.02 and 6,466.50 is: 9,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.78 : 35,997.02 = 6,466.50 : x
  2. Step 2: Convert to fraction form
    24,000.78/35,997.02 = 6,466.50/x
  3. Step 3: Cross multiply
    24,000.78x = 35,997.02 × 6,466.50
  4. Step 4: Simplify right side
    24,000.78x = 232,774,729.83
  5. Step 5: Solve for x
    x = 232,774,729.83/24,000.78
  6. Step 6: Final answer
    x = 9,698.63

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Double scale
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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.