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Finding the Fourth Proportional to 24,346.80, 36,506.20 and 9,538.40

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Solution

The fourth proportional to 24,346.80, 36,506.20 and 9,538.40 is: 14,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,346.80 : 36,506.20 = 9,538.40 : x
  2. Step 2: Convert to fraction form
    24,346.80/36,506.20 = 9,538.40/x
  3. Step 3: Cross multiply
    24,346.80x = 36,506.20 × 9,538.40
  4. Step 4: Simplify right side
    24,346.80x = 348,210,738.08
  5. Step 5: Solve for x
    x = 348,210,738.08/24,346.80
  6. Step 6: Final answer
    x = 14,302.12

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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.