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Finding the Fourth Proportional to 7,394.64, 10,213.74 and 5,374.91

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Solution

The fourth proportional to 7,394.64, 10,213.74 and 5,374.91 is: 7,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.64 : 10,213.74 = 5,374.91 : x
  2. Step 2: Convert to fraction form
    7,394.64/10,213.74 = 5,374.91/x
  3. Step 3: Cross multiply
    7,394.64x = 10,213.74 × 5,374.91
  4. Step 4: Simplify right side
    7,394.64x = 54,897,882.19
  5. Step 5: Solve for x
    x = 54,897,882.19/7,394.64
  6. Step 6: Final answer
    x = 7,424.01

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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.