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Finding the Fourth Proportional to 24,646.20, 36,969 and 6,178.20

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Solution

The fourth proportional to 24,646.20, 36,969 and 6,178.20 is: 9,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.20 : 36,969 = 6,178.20 : x
  2. Step 2: Convert to fraction form
    24,646.20/36,969 = 6,178.20/x
  3. Step 3: Cross multiply
    24,646.20x = 36,969 × 6,178.20
  4. Step 4: Simplify right side
    24,646.20x = 228,401,875.80
  5. Step 5: Solve for x
    x = 228,401,875.80/24,646.20
  6. Step 6: Final answer
    x = 9,267.22

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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.