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Finding the Fourth Proportional to 7,774.08, 10,802.76 and 7,694.16

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Solution

The fourth proportional to 7,774.08, 10,802.76 and 7,694.16 is: 10,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.08 : 10,802.76 = 7,694.16 : x
  2. Step 2: Convert to fraction form
    7,774.08/10,802.76 = 7,694.16/x
  3. Step 3: Cross multiply
    7,774.08x = 10,802.76 × 7,694.16
  4. Step 4: Simplify right side
    7,774.08x = 83,118,163.88
  5. Step 5: Solve for x
    x = 83,118,163.88/7,774.08
  6. Step 6: Final answer
    x = 10,691.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.