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Finding the Fourth Proportional to 12,586.96, 17,391.90 and 10,347.14

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Solution

The fourth proportional to 12,586.96, 17,391.90 and 10,347.14 is: 14,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.96 : 17,391.90 = 10,347.14 : x
  2. Step 2: Convert to fraction form
    12,586.96/17,391.90 = 10,347.14/x
  3. Step 3: Cross multiply
    12,586.96x = 17,391.90 × 10,347.14
  4. Step 4: Simplify right side
    12,586.96x = 179,956,424.17
  5. Step 5: Solve for x
    x = 179,956,424.17/12,586.96
  6. Step 6: Final answer
    x = 14,297.05

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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.