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Finding the Fourth Proportional to 12,038.34, 16,613.78 and 6,734.87

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Solution

The fourth proportional to 12,038.34, 16,613.78 and 6,734.87 is: 9,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.34 : 16,613.78 = 6,734.87 : x
  2. Step 2: Convert to fraction form
    12,038.34/16,613.78 = 6,734.87/x
  3. Step 3: Cross multiply
    12,038.34x = 16,613.78 × 6,734.87
  4. Step 4: Simplify right side
    12,038.34x = 111,891,648.51
  5. Step 5: Solve for x
    x = 111,891,648.51/12,038.34
  6. Step 6: Final answer
    x = 9,294.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.