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Finding the Fourth Proportional to 24,765.11, 37,156.91 and 9,978.22

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Solution

The fourth proportional to 24,765.11, 37,156.91 and 9,978.22 is: 14,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.11 : 37,156.91 = 9,978.22 : x
  2. Step 2: Convert to fraction form
    24,765.11/37,156.91 = 9,978.22/x
  3. Step 3: Cross multiply
    24,765.11x = 37,156.91 × 9,978.22
  4. Step 4: Simplify right side
    24,765.11x = 370,759,679.72
  5. Step 5: Solve for x
    x = 370,759,679.72/24,765.11
  6. Step 6: Final answer
    x = 14,971.05

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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.