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Finding the Fourth Proportional to 8,242.13, 12,303.24 and 7,633.01

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Solution

The fourth proportional to 8,242.13, 12,303.24 and 7,633.01 is: 11,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.13 : 12,303.24 = 7,633.01 : x
  2. Step 2: Convert to fraction form
    8,242.13/12,303.24 = 7,633.01/x
  3. Step 3: Cross multiply
    8,242.13x = 12,303.24 × 7,633.01
  4. Step 4: Simplify right side
    8,242.13x = 93,910,753.95
  5. Step 5: Solve for x
    x = 93,910,753.95/8,242.13
  6. Step 6: Final answer
    x = 11,393.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.