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Finding the Fourth Proportional to 6,333.12, 9,501.12 and 1,951.20

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Solution

The fourth proportional to 6,333.12, 9,501.12 and 1,951.20 is: 2,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.12 : 9,501.12 = 1,951.20 : x
  2. Step 2: Convert to fraction form
    6,333.12/9,501.12 = 1,951.20/x
  3. Step 3: Cross multiply
    6,333.12x = 9,501.12 × 1,951.20
  4. Step 4: Simplify right side
    6,333.12x = 18,538,585.34
  5. Step 5: Solve for x
    x = 18,538,585.34/6,333.12
  6. Step 6: Final answer
    x = 2,927.24

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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.