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Finding the Fourth Proportional to 9,414.64, 13,005.72 and 7,523.74

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Solution

The fourth proportional to 9,414.64, 13,005.72 and 7,523.74 is: 10,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.64 : 13,005.72 = 7,523.74 : x
  2. Step 2: Convert to fraction form
    9,414.64/13,005.72 = 7,523.74/x
  3. Step 3: Cross multiply
    9,414.64x = 13,005.72 × 7,523.74
  4. Step 4: Simplify right side
    9,414.64x = 97,851,655.79
  5. Step 5: Solve for x
    x = 97,851,655.79/9,414.64
  6. Step 6: Final answer
    x = 10,393.56

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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.