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Finding the Fourth Proportional to 10,013.01, 13,821.24 and 7,029.59

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Solution

The fourth proportional to 10,013.01, 13,821.24 and 7,029.59 is: 9,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.01 : 13,821.24 = 7,029.59 : x
  2. Step 2: Convert to fraction form
    10,013.01/13,821.24 = 7,029.59/x
  3. Step 3: Cross multiply
    10,013.01x = 13,821.24 × 7,029.59
  4. Step 4: Simplify right side
    10,013.01x = 97,157,581.39
  5. Step 5: Solve for x
    x = 97,157,581.39/10,013.01
  6. Step 6: Final answer
    x = 9,703.13

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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.