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Finding the Fourth Proportional to 9,924.67, 14,890.64 and 7,154.47

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Solution

The fourth proportional to 9,924.67, 14,890.64 and 7,154.47 is: 10,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.67 : 14,890.64 = 7,154.47 : x
  2. Step 2: Convert to fraction form
    9,924.67/14,890.64 = 7,154.47/x
  3. Step 3: Cross multiply
    9,924.67x = 14,890.64 × 7,154.47
  4. Step 4: Simplify right side
    9,924.67x = 106,534,637.16
  5. Step 5: Solve for x
    x = 106,534,637.16/9,924.67
  6. Step 6: Final answer
    x = 10,734.33

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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.