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Finding the Fourth Proportional to 7,204.04, 9,940.98 and 4,061

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Solution

The fourth proportional to 7,204.04, 9,940.98 and 4,061 is: 5,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.04 : 9,940.98 = 4,061 : x
  2. Step 2: Convert to fraction form
    7,204.04/9,940.98 = 4,061/x
  3. Step 3: Cross multiply
    7,204.04x = 9,940.98 × 4,061
  4. Step 4: Simplify right side
    7,204.04x = 40,370,319.78
  5. Step 5: Solve for x
    x = 40,370,319.78/7,204.04
  6. Step 6: Final answer
    x = 5,603.84

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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.