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Finding the Fourth Proportional to 6,544.10, 9,853 and 5,769.08

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Solution

The fourth proportional to 6,544.10, 9,853 and 5,769.08 is: 8,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.10 : 9,853 = 5,769.08 : x
  2. Step 2: Convert to fraction form
    6,544.10/9,853 = 5,769.08/x
  3. Step 3: Cross multiply
    6,544.10x = 9,853 × 5,769.08
  4. Step 4: Simplify right side
    6,544.10x = 56,842,745.24
  5. Step 5: Solve for x
    x = 56,842,745.24/6,544.10
  6. Step 6: Final answer
    x = 8,686.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.