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Finding the Fourth Proportional to 10,482.50, 15,703.93 and 6,195.43

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Solution

The fourth proportional to 10,482.50, 15,703.93 and 6,195.43 is: 9,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.50 : 15,703.93 = 6,195.43 : x
  2. Step 2: Convert to fraction form
    10,482.50/15,703.93 = 6,195.43/x
  3. Step 3: Cross multiply
    10,482.50x = 15,703.93 × 6,195.43
  4. Step 4: Simplify right side
    10,482.50x = 97,292,599.04
  5. Step 5: Solve for x
    x = 97,292,599.04/10,482.50
  6. Step 6: Final answer
    x = 9,281.43

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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.