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Finding the Fourth Proportional to 6,262.16, 9,376.86 and 4,064.24

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Solution

The fourth proportional to 6,262.16, 9,376.86 and 4,064.24 is: 6,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.16 : 9,376.86 = 4,064.24 : x
  2. Step 2: Convert to fraction form
    6,262.16/9,376.86 = 4,064.24/x
  3. Step 3: Cross multiply
    6,262.16x = 9,376.86 × 4,064.24
  4. Step 4: Simplify right side
    6,262.16x = 38,109,809.49
  5. Step 5: Solve for x
    x = 38,109,809.49/6,262.16
  6. Step 6: Final answer
    x = 6,085.73

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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.