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Finding the Fourth Proportional to 5,626.74, 7,767.06 and 5,036.22

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Solution

The fourth proportional to 5,626.74, 7,767.06 and 5,036.22 is: 6,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.74 : 7,767.06 = 5,036.22 : x
  2. Step 2: Convert to fraction form
    5,626.74/7,767.06 = 5,036.22/x
  3. Step 3: Cross multiply
    5,626.74x = 7,767.06 × 5,036.22
  4. Step 4: Simplify right side
    5,626.74x = 39,116,622.91
  5. Step 5: Solve for x
    x = 39,116,622.91/5,626.74
  6. Step 6: Final answer
    x = 6,951.92

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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.