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Finding the Fourth Proportional to 6,878.76, 9,496.82 and 4,525

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Solution

The fourth proportional to 6,878.76, 9,496.82 and 4,525 is: 6,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.76 : 9,496.82 = 4,525 : x
  2. Step 2: Convert to fraction form
    6,878.76/9,496.82 = 4,525/x
  3. Step 3: Cross multiply
    6,878.76x = 9,496.82 × 4,525
  4. Step 4: Simplify right side
    6,878.76x = 42,973,110.50
  5. Step 5: Solve for x
    x = 42,973,110.50/6,878.76
  6. Step 6: Final answer
    x = 6,247.22

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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.