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Finding the Fourth Proportional to 9,693.88, 14,590.02 and 7,241.70

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Solution

The fourth proportional to 9,693.88, 14,590.02 and 7,241.70 is: 10,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.88 : 14,590.02 = 7,241.70 : x
  2. Step 2: Convert to fraction form
    9,693.88/14,590.02 = 7,241.70/x
  3. Step 3: Cross multiply
    9,693.88x = 14,590.02 × 7,241.70
  4. Step 4: Simplify right side
    9,693.88x = 105,656,629.70
  5. Step 5: Solve for x
    x = 105,656,629.70/9,693.88
  6. Step 6: Final answer
    x = 10,899.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.