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Finding the Fourth Proportional to 7,118.06, 9,822.74 and 4,134.14

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Solution

The fourth proportional to 7,118.06, 9,822.74 and 4,134.14 is: 5,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.06 : 9,822.74 = 4,134.14 : x
  2. Step 2: Convert to fraction form
    7,118.06/9,822.74 = 4,134.14/x
  3. Step 3: Cross multiply
    7,118.06x = 9,822.74 × 4,134.14
  4. Step 4: Simplify right side
    7,118.06x = 40,608,582.34
  5. Step 5: Solve for x
    x = 40,608,582.34/7,118.06
  6. Step 6: Final answer
    x = 5,705.01

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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.