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Finding the Fourth Proportional to 6,410.74, 9,559.55 and 6,182.32

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Solution

The fourth proportional to 6,410.74, 9,559.55 and 6,182.32 is: 9,218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.74 : 9,559.55 = 6,182.32 : x
  2. Step 2: Convert to fraction form
    6,410.74/9,559.55 = 6,182.32/x
  3. Step 3: Cross multiply
    6,410.74x = 9,559.55 × 6,182.32
  4. Step 4: Simplify right side
    6,410.74x = 59,100,197.16
  5. Step 5: Solve for x
    x = 59,100,197.16/6,410.74
  6. Step 6: Final answer
    x = 9,218.94

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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.