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Finding the Fourth Proportional to 6,169.84, 9,256.12 and 2,881.13

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Solution

The fourth proportional to 6,169.84, 9,256.12 and 2,881.13 is: 4,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.84 : 9,256.12 = 2,881.13 : x
  2. Step 2: Convert to fraction form
    6,169.84/9,256.12 = 2,881.13/x
  3. Step 3: Cross multiply
    6,169.84x = 9,256.12 × 2,881.13
  4. Step 4: Simplify right side
    6,169.84x = 26,668,031.53
  5. Step 5: Solve for x
    x = 26,668,031.53/6,169.84
  6. Step 6: Final answer
    x = 4,322.32

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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.