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Finding the Fourth Proportional to 9,280.50, 13,885.88 and 6,512.58

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Solution

The fourth proportional to 9,280.50, 13,885.88 and 6,512.58 is: 9,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.50 : 13,885.88 = 6,512.58 : x
  2. Step 2: Convert to fraction form
    9,280.50/13,885.88 = 6,512.58/x
  3. Step 3: Cross multiply
    9,280.50x = 13,885.88 × 6,512.58
  4. Step 4: Simplify right side
    9,280.50x = 90,432,871.81
  5. Step 5: Solve for x
    x = 90,432,871.81/9,280.50
  6. Step 6: Final answer
    x = 9,744.40

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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.