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Finding the Fourth Proportional to 6,475.08, 8,935.12 and 3,642.90

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Solution

The fourth proportional to 6,475.08, 8,935.12 and 3,642.90 is: 5,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.08 : 8,935.12 = 3,642.90 : x
  2. Step 2: Convert to fraction form
    6,475.08/8,935.12 = 3,642.90/x
  3. Step 3: Cross multiply
    6,475.08x = 8,935.12 × 3,642.90
  4. Step 4: Simplify right side
    6,475.08x = 32,549,748.65
  5. Step 5: Solve for x
    x = 32,549,748.65/6,475.08
  6. Step 6: Final answer
    x = 5,026.93

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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.