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Finding the Fourth Proportional to 24,646.32, 36,981.90 and 9,859.50

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Solution

The fourth proportional to 24,646.32, 36,981.90 and 9,859.50 is: 14,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.32 : 36,981.90 = 9,859.50 : x
  2. Step 2: Convert to fraction form
    24,646.32/36,981.90 = 9,859.50/x
  3. Step 3: Cross multiply
    24,646.32x = 36,981.90 × 9,859.50
  4. Step 4: Simplify right side
    24,646.32x = 364,623,043.05
  5. Step 5: Solve for x
    x = 364,623,043.05/24,646.32
  6. Step 6: Final answer
    x = 14,794.22

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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.