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Finding the Fourth Proportional to 9,564.84, 14,347.14 and 2,639.16

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Solution

The fourth proportional to 9,564.84, 14,347.14 and 2,639.16 is: 3,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.84 : 14,347.14 = 2,639.16 : x
  2. Step 2: Convert to fraction form
    9,564.84/14,347.14 = 2,639.16/x
  3. Step 3: Cross multiply
    9,564.84x = 14,347.14 × 2,639.16
  4. Step 4: Simplify right side
    9,564.84x = 37,864,398.00
  5. Step 5: Solve for x
    x = 37,864,398.00/9,564.84
  6. Step 6: Final answer
    x = 3,958.71

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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.