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Finding the Fourth Proportional to 6,473.64, 8,926.54 and 4,374.12

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Solution

The fourth proportional to 6,473.64, 8,926.54 and 4,374.12 is: 6,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.64 : 8,926.54 = 4,374.12 : x
  2. Step 2: Convert to fraction form
    6,473.64/8,926.54 = 4,374.12/x
  3. Step 3: Cross multiply
    6,473.64x = 8,926.54 × 4,374.12
  4. Step 4: Simplify right side
    6,473.64x = 39,045,757.14
  5. Step 5: Solve for x
    x = 39,045,757.14/6,473.64
  6. Step 6: Final answer
    x = 6,031.50

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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.