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Finding the Fourth Proportional to 7,894.74, 10,894.98 and 4,538.22

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Solution

The fourth proportional to 7,894.74, 10,894.98 and 4,538.22 is: 6,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.74 : 10,894.98 = 4,538.22 : x
  2. Step 2: Convert to fraction form
    7,894.74/10,894.98 = 4,538.22/x
  3. Step 3: Cross multiply
    7,894.74x = 10,894.98 × 4,538.22
  4. Step 4: Simplify right side
    7,894.74x = 49,443,816.14
  5. Step 5: Solve for x
    x = 49,443,816.14/7,894.74
  6. Step 6: Final answer
    x = 6,262.88

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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.