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Finding the Fourth Proportional to 10,097.63, 15,122.93 and 9,747.31

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Solution

The fourth proportional to 10,097.63, 15,122.93 and 9,747.31 is: 14,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.63 : 15,122.93 = 9,747.31 : x
  2. Step 2: Convert to fraction form
    10,097.63/15,122.93 = 9,747.31/x
  3. Step 3: Cross multiply
    10,097.63x = 15,122.93 × 9,747.31
  4. Step 4: Simplify right side
    10,097.63x = 147,407,835.57
  5. Step 5: Solve for x
    x = 147,407,835.57/10,097.63
  6. Step 6: Final answer
    x = 14,598.26

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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.