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Finding the Fourth Proportional to 4,998.30, 7,506.33 and 4,743.06

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Solution

The fourth proportional to 4,998.30, 7,506.33 and 4,743.06 is: 7,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.30 : 7,506.33 = 4,743.06 : x
  2. Step 2: Convert to fraction form
    4,998.30/7,506.33 = 4,743.06/x
  3. Step 3: Cross multiply
    4,998.30x = 7,506.33 × 4,743.06
  4. Step 4: Simplify right side
    4,998.30x = 35,602,973.57
  5. Step 5: Solve for x
    x = 35,602,973.57/4,998.30
  6. Step 6: Final answer
    x = 7,123.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.