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Finding the Fourth Proportional to 10,637.83, 15,968.31 and 6,200.31

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Solution

The fourth proportional to 10,637.83, 15,968.31 and 6,200.31 is: 9,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.83 : 15,968.31 = 6,200.31 : x
  2. Step 2: Convert to fraction form
    10,637.83/15,968.31 = 6,200.31/x
  3. Step 3: Cross multiply
    10,637.83x = 15,968.31 × 6,200.31
  4. Step 4: Simplify right side
    10,637.83x = 99,008,472.18
  5. Step 5: Solve for x
    x = 99,008,472.18/10,637.83
  6. Step 6: Final answer
    x = 9,307.21

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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.