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Finding the Fourth Proportional to 9,959.48, 14,942.46 and 4,765.76

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Solution

The fourth proportional to 9,959.48, 14,942.46 and 4,765.76 is: 7,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.48 : 14,942.46 = 4,765.76 : x
  2. Step 2: Convert to fraction form
    9,959.48/14,942.46 = 4,765.76/x
  3. Step 3: Cross multiply
    9,959.48x = 14,942.46 × 4,765.76
  4. Step 4: Simplify right side
    9,959.48x = 71,212,178.17
  5. Step 5: Solve for x
    x = 71,212,178.17/9,959.48
  6. Step 6: Final answer
    x = 7,150.19

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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.