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Finding the Fourth Proportional to 24,771.16, 37,158.50 and 9,980.16

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Solution

The fourth proportional to 24,771.16, 37,158.50 and 9,980.16 is: 14,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771.16 : 37,158.50 = 9,980.16 : x
  2. Step 2: Convert to fraction form
    24,771.16/37,158.50 = 9,980.16/x
  3. Step 3: Cross multiply
    24,771.16x = 37,158.50 × 9,980.16
  4. Step 4: Simplify right side
    24,771.16x = 370,847,775.36
  5. Step 5: Solve for x
    x = 370,847,775.36/24,771.16
  6. Step 6: Final answer
    x = 14,970.95

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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.