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Finding the Fourth Proportional to 7,616.47, 11,412.84 and 3,663.46

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Solution

The fourth proportional to 7,616.47, 11,412.84 and 3,663.46 is: 5,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.47 : 11,412.84 = 3,663.46 : x
  2. Step 2: Convert to fraction form
    7,616.47/11,412.84 = 3,663.46/x
  3. Step 3: Cross multiply
    7,616.47x = 11,412.84 × 3,663.46
  4. Step 4: Simplify right side
    7,616.47x = 41,810,482.83
  5. Step 5: Solve for x
    x = 41,810,482.83/7,616.47
  6. Step 6: Final answer
    x = 5,489.48

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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.