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Finding the Fourth Proportional to 9,357.75, 14,042.70 and 4,740.75

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Solution

The fourth proportional to 9,357.75, 14,042.70 and 4,740.75 is: 7,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.75 : 14,042.70 = 4,740.75 : x
  2. Step 2: Convert to fraction form
    9,357.75/14,042.70 = 4,740.75/x
  3. Step 3: Cross multiply
    9,357.75x = 14,042.70 × 4,740.75
  4. Step 4: Simplify right side
    9,357.75x = 66,572,930.03
  5. Step 5: Solve for x
    x = 66,572,930.03/9,357.75
  6. Step 6: Final answer
    x = 7,114.20

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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.