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Finding the Fourth Proportional to 6,303.34, 9,456.45 and 1,920.88

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Solution

The fourth proportional to 6,303.34, 9,456.45 and 1,920.88 is: 2,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.34 : 9,456.45 = 1,920.88 : x
  2. Step 2: Convert to fraction form
    6,303.34/9,456.45 = 1,920.88/x
  3. Step 3: Cross multiply
    6,303.34x = 9,456.45 × 1,920.88
  4. Step 4: Simplify right side
    6,303.34x = 18,164,705.68
  5. Step 5: Solve for x
    x = 18,164,705.68/6,303.34
  6. Step 6: Final answer
    x = 2,881.76

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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.