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Finding the Fourth Proportional to 7,765.04, 11,648.38 and 2,835.12

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Solution

The fourth proportional to 7,765.04, 11,648.38 and 2,835.12 is: 4,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.04 : 11,648.38 = 2,835.12 : x
  2. Step 2: Convert to fraction form
    7,765.04/11,648.38 = 2,835.12/x
  3. Step 3: Cross multiply
    7,765.04x = 11,648.38 × 2,835.12
  4. Step 4: Simplify right side
    7,765.04x = 33,024,555.11
  5. Step 5: Solve for x
    x = 33,024,555.11/7,765.04
  6. Step 6: Final answer
    x = 4,252.98

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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.