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Finding the Fourth Proportional to 9,915.76, 14,854.44 and 6,788.32

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Solution

The fourth proportional to 9,915.76, 14,854.44 and 6,788.32 is: 10,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.76 : 14,854.44 = 6,788.32 : x
  2. Step 2: Convert to fraction form
    9,915.76/14,854.44 = 6,788.32/x
  3. Step 3: Cross multiply
    9,915.76x = 14,854.44 × 6,788.32
  4. Step 4: Simplify right side
    9,915.76x = 100,836,692.14
  5. Step 5: Solve for x
    x = 100,836,692.14/9,915.76
  6. Step 6: Final answer
    x = 10,169.34

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1.5x scale

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.