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Finding the Fourth Proportional to 7,805.76, 11,710.08 and 2,613.12

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Solution

The fourth proportional to 7,805.76, 11,710.08 and 2,613.12 is: 3,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.76 : 11,710.08 = 2,613.12 : x
  2. Step 2: Convert to fraction form
    7,805.76/11,710.08 = 2,613.12/x
  3. Step 3: Cross multiply
    7,805.76x = 11,710.08 × 2,613.12
  4. Step 4: Simplify right side
    7,805.76x = 30,599,844.25
  5. Step 5: Solve for x
    x = 30,599,844.25/7,805.76
  6. Step 6: Final answer
    x = 3,920.16

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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.