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Finding the Fourth Proportional to 9,882.83, 14,826.73 and 6,966.83

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Solution

The fourth proportional to 9,882.83, 14,826.73 and 6,966.83 is: 10,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.83 : 14,826.73 = 6,966.83 : x
  2. Step 2: Convert to fraction form
    9,882.83/14,826.73 = 6,966.83/x
  3. Step 3: Cross multiply
    9,882.83x = 14,826.73 × 6,966.83
  4. Step 4: Simplify right side
    9,882.83x = 103,295,307.37
  5. Step 5: Solve for x
    x = 103,295,307.37/9,882.83
  6. Step 6: Final answer
    x = 10,452.00

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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.