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Finding the Fourth Proportional to 24,512.63, 36,771.98 and 7,870.77

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Solution

The fourth proportional to 24,512.63, 36,771.98 and 7,870.77 is: 11,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.63 : 36,771.98 = 7,870.77 : x
  2. Step 2: Convert to fraction form
    24,512.63/36,771.98 = 7,870.77/x
  3. Step 3: Cross multiply
    24,512.63x = 36,771.98 × 7,870.77
  4. Step 4: Simplify right side
    24,512.63x = 289,423,757.67
  5. Step 5: Solve for x
    x = 289,423,757.67/24,512.63
  6. Step 6: Final answer
    x = 11,807.13

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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.