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Finding the Fourth Proportional to 7,048.92, 9,727.68 and 3,905.34

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Solution

The fourth proportional to 7,048.92, 9,727.68 and 3,905.34 is: 5,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.92 : 9,727.68 = 3,905.34 : x
  2. Step 2: Convert to fraction form
    7,048.92/9,727.68 = 3,905.34/x
  3. Step 3: Cross multiply
    7,048.92x = 9,727.68 × 3,905.34
  4. Step 4: Simplify right side
    7,048.92x = 37,989,897.81
  5. Step 5: Solve for x
    x = 37,989,897.81/7,048.92
  6. Step 6: Final answer
    x = 5,389.46

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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.