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Finding the Fourth Proportional to 7,638.84, 10,536.48 and 4,986.90

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Solution

The fourth proportional to 7,638.84, 10,536.48 and 4,986.90 is: 6,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.84 : 10,536.48 = 4,986.90 : x
  2. Step 2: Convert to fraction form
    7,638.84/10,536.48 = 4,986.90/x
  3. Step 3: Cross multiply
    7,638.84x = 10,536.48 × 4,986.90
  4. Step 4: Simplify right side
    7,638.84x = 52,544,372.11
  5. Step 5: Solve for x
    x = 52,544,372.11/7,638.84
  6. Step 6: Final answer
    x = 6,878.58

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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.