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Finding the Fourth Proportional to 7,053.82, 9,712.10 and 5,989.34

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Solution

The fourth proportional to 7,053.82, 9,712.10 and 5,989.34 is: 8,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.82 : 9,712.10 = 5,989.34 : x
  2. Step 2: Convert to fraction form
    7,053.82/9,712.10 = 5,989.34/x
  3. Step 3: Cross multiply
    7,053.82x = 9,712.10 × 5,989.34
  4. Step 4: Simplify right side
    7,053.82x = 58,169,108.27
  5. Step 5: Solve for x
    x = 58,169,108.27/7,053.82
  6. Step 6: Final answer
    x = 8,246.47

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Double scale
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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.