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Finding the Fourth Proportional to 7,123.68, 9,830.88 and 3,979.80

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Solution

The fourth proportional to 7,123.68, 9,830.88 and 3,979.80 is: 5,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.68 : 9,830.88 = 3,979.80 : x
  2. Step 2: Convert to fraction form
    7,123.68/9,830.88 = 3,979.80/x
  3. Step 3: Cross multiply
    7,123.68x = 9,830.88 × 3,979.80
  4. Step 4: Simplify right side
    7,123.68x = 39,124,936.22
  5. Step 5: Solve for x
    x = 39,124,936.22/7,123.68
  6. Step 6: Final answer
    x = 5,492.24

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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.