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Finding the Fourth Proportional to 6,345.16, 9,517.74 and 6,008.20

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Solution

The fourth proportional to 6,345.16, 9,517.74 and 6,008.20 is: 9,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.16 : 9,517.74 = 6,008.20 : x
  2. Step 2: Convert to fraction form
    6,345.16/9,517.74 = 6,008.20/x
  3. Step 3: Cross multiply
    6,345.16x = 9,517.74 × 6,008.20
  4. Step 4: Simplify right side
    6,345.16x = 57,184,485.47
  5. Step 5: Solve for x
    x = 57,184,485.47/6,345.16
  6. Step 6: Final answer
    x = 9,012.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.