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Finding the Fourth Proportional to 10,097.61, 15,160.07 and 6,969.84

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Solution

The fourth proportional to 10,097.61, 15,160.07 and 6,969.84 is: 10,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.61 : 15,160.07 = 6,969.84 : x
  2. Step 2: Convert to fraction form
    10,097.61/15,160.07 = 6,969.84/x
  3. Step 3: Cross multiply
    10,097.61x = 15,160.07 × 6,969.84
  4. Step 4: Simplify right side
    10,097.61x = 105,663,262.29
  5. Step 5: Solve for x
    x = 105,663,262.29/10,097.61
  6. Step 6: Final answer
    x = 10,464.19

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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.