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Finding the Fourth Proportional to 9,873.39, 14,809.64 and 2,477.69

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Solution

The fourth proportional to 9,873.39, 14,809.64 and 2,477.69 is: 3,716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.39 : 14,809.64 = 2,477.69 : x
  2. Step 2: Convert to fraction form
    9,873.39/14,809.64 = 2,477.69/x
  3. Step 3: Cross multiply
    9,873.39x = 14,809.64 × 2,477.69
  4. Step 4: Simplify right side
    9,873.39x = 36,693,666.03
  5. Step 5: Solve for x
    x = 36,693,666.03/9,873.39
  6. Step 6: Final answer
    x = 3,716.42

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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.