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Finding the Fourth Proportional to 7,763.48, 11,646.67 and 7,059.24

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Solution

The fourth proportional to 7,763.48, 11,646.67 and 7,059.24 is: 10,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.48 : 11,646.67 = 7,059.24 : x
  2. Step 2: Convert to fraction form
    7,763.48/11,646.67 = 7,059.24/x
  3. Step 3: Cross multiply
    7,763.48x = 11,646.67 × 7,059.24
  4. Step 4: Simplify right side
    7,763.48x = 82,216,638.73
  5. Step 5: Solve for x
    x = 82,216,638.73/7,763.48
  6. Step 6: Final answer
    x = 10,590.18

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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.