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Finding the Fourth Proportional to 10,615.84, 14,650.67 and 6,367.06

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Solution

The fourth proportional to 10,615.84, 14,650.67 and 6,367.06 is: 8,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.84 : 14,650.67 = 6,367.06 : x
  2. Step 2: Convert to fraction form
    10,615.84/14,650.67 = 6,367.06/x
  3. Step 3: Cross multiply
    10,615.84x = 14,650.67 × 6,367.06
  4. Step 4: Simplify right side
    10,615.84x = 93,281,729.16
  5. Step 5: Solve for x
    x = 93,281,729.16/10,615.84
  6. Step 6: Final answer
    x = 8,787.03

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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.