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Finding the Fourth Proportional to 6,581.84, 9,080.52 and 4,223.12

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Solution

The fourth proportional to 6,581.84, 9,080.52 and 4,223.12 is: 5,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.84 : 9,080.52 = 4,223.12 : x
  2. Step 2: Convert to fraction form
    6,581.84/9,080.52 = 4,223.12/x
  3. Step 3: Cross multiply
    6,581.84x = 9,080.52 × 4,223.12
  4. Step 4: Simplify right side
    6,581.84x = 38,348,125.62
  5. Step 5: Solve for x
    x = 38,348,125.62/6,581.84
  6. Step 6: Final answer
    x = 5,826.35

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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.