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Finding the Fourth Proportional to 9,886.14, 13,639.50 and 7,053.84

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Solution

The fourth proportional to 9,886.14, 13,639.50 and 7,053.84 is: 9,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.14 : 13,639.50 = 7,053.84 : x
  2. Step 2: Convert to fraction form
    9,886.14/13,639.50 = 7,053.84/x
  3. Step 3: Cross multiply
    9,886.14x = 13,639.50 × 7,053.84
  4. Step 4: Simplify right side
    9,886.14x = 96,210,850.68
  5. Step 5: Solve for x
    x = 96,210,850.68/9,886.14
  6. Step 6: Final answer
    x = 9,731.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.