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Finding the Fourth Proportional to 6,529.41, 9,805.86 and 6,265.15

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Solution

The fourth proportional to 6,529.41, 9,805.86 and 6,265.15 is: 9,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.41 : 9,805.86 = 6,265.15 : x
  2. Step 2: Convert to fraction form
    6,529.41/9,805.86 = 6,265.15/x
  3. Step 3: Cross multiply
    6,529.41x = 9,805.86 × 6,265.15
  4. Step 4: Simplify right side
    6,529.41x = 61,435,159.26
  5. Step 5: Solve for x
    x = 61,435,159.26/6,529.41
  6. Step 6: Final answer
    x = 9,408.99

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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.