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Finding the Fourth Proportional to 6,577.76, 9,080.01 and 4,689.65

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Solution

The fourth proportional to 6,577.76, 9,080.01 and 4,689.65 is: 6,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.76 : 9,080.01 = 4,689.65 : x
  2. Step 2: Convert to fraction form
    6,577.76/9,080.01 = 4,689.65/x
  3. Step 3: Cross multiply
    6,577.76x = 9,080.01 × 4,689.65
  4. Step 4: Simplify right side
    6,577.76x = 42,582,023.50
  5. Step 5: Solve for x
    x = 42,582,023.50/6,577.76
  6. Step 6: Final answer
    x = 6,473.64

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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.