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Finding the Fourth Proportional to 10,703.80, 16,042.74 and 6,530.68

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Solution

The fourth proportional to 10,703.80, 16,042.74 and 6,530.68 is: 9,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.80 : 16,042.74 = 6,530.68 : x
  2. Step 2: Convert to fraction form
    10,703.80/16,042.74 = 6,530.68/x
  3. Step 3: Cross multiply
    10,703.80x = 16,042.74 × 6,530.68
  4. Step 4: Simplify right side
    10,703.80x = 104,770,001.26
  5. Step 5: Solve for x
    x = 104,770,001.26/10,703.80
  6. Step 6: Final answer
    x = 9,788.11

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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.