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Finding the Fourth Proportional to 10,065.42, 13,893.03 and 6,707.03

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Solution

The fourth proportional to 10,065.42, 13,893.03 and 6,707.03 is: 9,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.42 : 13,893.03 = 6,707.03 : x
  2. Step 2: Convert to fraction form
    10,065.42/13,893.03 = 6,707.03/x
  3. Step 3: Cross multiply
    10,065.42x = 13,893.03 × 6,707.03
  4. Step 4: Simplify right side
    10,065.42x = 93,180,899.54
  5. Step 5: Solve for x
    x = 93,180,899.54/10,065.42
  6. Step 6: Final answer
    x = 9,257.53

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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.