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Finding the Fourth Proportional to 7,182.24, 9,914.80 and 4,796.16

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Solution

The fourth proportional to 7,182.24, 9,914.80 and 4,796.16 is: 6,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.24 : 9,914.80 = 4,796.16 : x
  2. Step 2: Convert to fraction form
    7,182.24/9,914.80 = 4,796.16/x
  3. Step 3: Cross multiply
    7,182.24x = 9,914.80 × 4,796.16
  4. Step 4: Simplify right side
    7,182.24x = 47,552,967.17
  5. Step 5: Solve for x
    x = 47,552,967.17/7,182.24
  6. Step 6: Final answer
    x = 6,620.91

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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.