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Finding the Fourth Proportional to 4,705.47, 7,017.09 and 4,123.19

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Solution

The fourth proportional to 4,705.47, 7,017.09 and 4,123.19 is: 6,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.47 : 7,017.09 = 4,123.19 : x
  2. Step 2: Convert to fraction form
    4,705.47/7,017.09 = 4,123.19/x
  3. Step 3: Cross multiply
    4,705.47x = 7,017.09 × 4,123.19
  4. Step 4: Simplify right side
    4,705.47x = 28,932,760.23
  5. Step 5: Solve for x
    x = 28,932,760.23/4,705.47
  6. Step 6: Final answer
    x = 6,148.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.