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Finding the Fourth Proportional to 12,407.96, 18,596.29 and 5,008.30

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Solution

The fourth proportional to 12,407.96, 18,596.29 and 5,008.30 is: 7,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.96 : 18,596.29 = 5,008.30 : x
  2. Step 2: Convert to fraction form
    12,407.96/18,596.29 = 5,008.30/x
  3. Step 3: Cross multiply
    12,407.96x = 18,596.29 × 5,008.30
  4. Step 4: Simplify right side
    12,407.96x = 93,135,799.21
  5. Step 5: Solve for x
    x = 93,135,799.21/12,407.96
  6. Step 6: Final answer
    x = 7,506.13

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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.