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Finding the Fourth Proportional to 9,574.01, 13,197.48 and 6,733.64

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Solution

The fourth proportional to 9,574.01, 13,197.48 and 6,733.64 is: 9,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.01 : 13,197.48 = 6,733.64 : x
  2. Step 2: Convert to fraction form
    9,574.01/13,197.48 = 6,733.64/x
  3. Step 3: Cross multiply
    9,574.01x = 13,197.48 × 6,733.64
  4. Step 4: Simplify right side
    9,574.01x = 88,867,046.23
  5. Step 5: Solve for x
    x = 88,867,046.23/9,574.01
  6. Step 6: Final answer
    x = 9,282.12

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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.