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Finding the Fourth Proportional to 9,740.70, 14,589.45 and 7,542.30

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Solution

The fourth proportional to 9,740.70, 14,589.45 and 7,542.30 is: 11,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.70 : 14,589.45 = 7,542.30 : x
  2. Step 2: Convert to fraction form
    9,740.70/14,589.45 = 7,542.30/x
  3. Step 3: Cross multiply
    9,740.70x = 14,589.45 × 7,542.30
  4. Step 4: Simplify right side
    9,740.70x = 110,038,008.74
  5. Step 5: Solve for x
    x = 110,038,008.74/9,740.70
  6. Step 6: Final answer
    x = 11,296.72

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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.