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Finding the Fourth Proportional to 6,291.96, 9,437.88 and 1,674.96

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Solution

The fourth proportional to 6,291.96, 9,437.88 and 1,674.96 is: 2,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.96 : 9,437.88 = 1,674.96 : x
  2. Step 2: Convert to fraction form
    6,291.96/9,437.88 = 1,674.96/x
  3. Step 3: Cross multiply
    6,291.96x = 9,437.88 × 1,674.96
  4. Step 4: Simplify right side
    6,291.96x = 15,808,071.48
  5. Step 5: Solve for x
    x = 15,808,071.48/6,291.96
  6. Step 6: Final answer
    x = 2,512.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.