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Finding the Fourth Proportional to 13,302.90, 19,957.05 and 6,282.90

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Solution

The fourth proportional to 13,302.90, 19,957.05 and 6,282.90 is: 9,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.90 : 19,957.05 = 6,282.90 : x
  2. Step 2: Convert to fraction form
    13,302.90/19,957.05 = 6,282.90/x
  3. Step 3: Cross multiply
    13,302.90x = 19,957.05 × 6,282.90
  4. Step 4: Simplify right side
    13,302.90x = 125,388,149.45
  5. Step 5: Solve for x
    x = 125,388,149.45/13,302.90
  6. Step 6: Final answer
    x = 9,425.63

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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.