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Finding the Fourth Proportional to 10,682.76, 14,742.15 and 5,903.04

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Solution

The fourth proportional to 10,682.76, 14,742.15 and 5,903.04 is: 8,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.76 : 14,742.15 = 5,903.04 : x
  2. Step 2: Convert to fraction form
    10,682.76/14,742.15 = 5,903.04/x
  3. Step 3: Cross multiply
    10,682.76x = 14,742.15 × 5,903.04
  4. Step 4: Simplify right side
    10,682.76x = 87,023,501.14
  5. Step 5: Solve for x
    x = 87,023,501.14/10,682.76
  6. Step 6: Final answer
    x = 8,146.16

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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.