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Finding the Fourth Proportional to 10,097, 13,934.40 and 5,907.68

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Solution

The fourth proportional to 10,097, 13,934.40 and 5,907.68 is: 8,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097 : 13,934.40 = 5,907.68 : x
  2. Step 2: Convert to fraction form
    10,097/13,934.40 = 5,907.68/x
  3. Step 3: Cross multiply
    10,097x = 13,934.40 × 5,907.68
  4. Step 4: Simplify right side
    10,097x = 82,319,976.19
  5. Step 5: Solve for x
    x = 82,319,976.19/10,097
  6. Step 6: Final answer
    x = 8,152.91

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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.