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Finding the Fourth Proportional to 6,114.66, 9,159.66 and 2,823.18

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Solution

The fourth proportional to 6,114.66, 9,159.66 and 2,823.18 is: 4,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.66 : 9,159.66 = 2,823.18 : x
  2. Step 2: Convert to fraction form
    6,114.66/9,159.66 = 2,823.18/x
  3. Step 3: Cross multiply
    6,114.66x = 9,159.66 × 2,823.18
  4. Step 4: Simplify right side
    6,114.66x = 25,859,368.92
  5. Step 5: Solve for x
    x = 25,859,368.92/6,114.66
  6. Step 6: Final answer
    x = 4,229.08

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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.