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Finding the Fourth Proportional to 23,842.67, 35,762.40 and 9,799.07

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Solution

The fourth proportional to 23,842.67, 35,762.40 and 9,799.07 is: 14,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.67 : 35,762.40 = 9,799.07 : x
  2. Step 2: Convert to fraction form
    23,842.67/35,762.40 = 9,799.07/x
  3. Step 3: Cross multiply
    23,842.67x = 35,762.40 × 9,799.07
  4. Step 4: Simplify right side
    23,842.67x = 350,438,082.16
  5. Step 5: Solve for x
    x = 350,438,082.16/23,842.67
  6. Step 6: Final answer
    x = 14,697.94

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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.