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Finding the Fourth Proportional to 7,930.30, 10,949.16 and 7,088.30

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Solution

The fourth proportional to 7,930.30, 10,949.16 and 7,088.30 is: 9,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.30 : 10,949.16 = 7,088.30 : x
  2. Step 2: Convert to fraction form
    7,930.30/10,949.16 = 7,088.30/x
  3. Step 3: Cross multiply
    7,930.30x = 10,949.16 × 7,088.30
  4. Step 4: Simplify right side
    7,930.30x = 77,610,930.83
  5. Step 5: Solve for x
    x = 77,610,930.83/7,930.30
  6. Step 6: Final answer
    x = 9,786.63

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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.