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Finding the Fourth Proportional to 7,118.49, 9,820.50 and 4,093.08

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Solution

The fourth proportional to 7,118.49, 9,820.50 and 4,093.08 is: 5,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.49 : 9,820.50 = 4,093.08 : x
  2. Step 2: Convert to fraction form
    7,118.49/9,820.50 = 4,093.08/x
  3. Step 3: Cross multiply
    7,118.49x = 9,820.50 × 4,093.08
  4. Step 4: Simplify right side
    7,118.49x = 40,196,092.14
  5. Step 5: Solve for x
    x = 40,196,092.14/7,118.49
  6. Step 6: Final answer
    x = 5,646.72

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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.