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Finding the Fourth Proportional to 14,915.40, 20,582.97 and 8,200.95

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Solution

The fourth proportional to 14,915.40, 20,582.97 and 8,200.95 is: 11,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.40 : 20,582.97 = 8,200.95 : x
  2. Step 2: Convert to fraction form
    14,915.40/20,582.97 = 8,200.95/x
  3. Step 3: Cross multiply
    14,915.40x = 20,582.97 × 8,200.95
  4. Step 4: Simplify right side
    14,915.40x = 168,799,907.82
  5. Step 5: Solve for x
    x = 168,799,907.82/14,915.40
  6. Step 6: Final answer
    x = 11,317.16

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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.