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Finding the Fourth Proportional to 8,577.68, 11,826.36 and 7,300.28

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Solution

The fourth proportional to 8,577.68, 11,826.36 and 7,300.28 is: 10,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.68 : 11,826.36 = 7,300.28 : x
  2. Step 2: Convert to fraction form
    8,577.68/11,826.36 = 7,300.28/x
  3. Step 3: Cross multiply
    8,577.68x = 11,826.36 × 7,300.28
  4. Step 4: Simplify right side
    8,577.68x = 86,335,739.38
  5. Step 5: Solve for x
    x = 86,335,739.38/8,577.68
  6. Step 6: Final answer
    x = 10,065.16

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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.