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Finding the Fourth Proportional to 10,001.07, 13,800.99 and 5,749.14

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Solution

The fourth proportional to 10,001.07, 13,800.99 and 5,749.14 is: 7,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.07 : 13,800.99 = 5,749.14 : x
  2. Step 2: Convert to fraction form
    10,001.07/13,800.99 = 5,749.14/x
  3. Step 3: Cross multiply
    10,001.07x = 13,800.99 × 5,749.14
  4. Step 4: Simplify right side
    10,001.07x = 79,343,823.65
  5. Step 5: Solve for x
    x = 79,343,823.65/10,001.07
  6. Step 6: Final answer
    x = 7,933.53

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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.