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Finding the Fourth Proportional to 8,295.84, 11,448 and 4,759.11

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Solution

The fourth proportional to 8,295.84, 11,448 and 4,759.11 is: 6,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.84 : 11,448 = 4,759.11 : x
  2. Step 2: Convert to fraction form
    8,295.84/11,448 = 4,759.11/x
  3. Step 3: Cross multiply
    8,295.84x = 11,448 × 4,759.11
  4. Step 4: Simplify right side
    8,295.84x = 54,482,291.28
  5. Step 5: Solve for x
    x = 54,482,291.28/8,295.84
  6. Step 6: Final answer
    x = 6,567.42

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.