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Finding the Fourth Proportional to 10,460.52, 15,690.78 and 5,262.84

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Solution

The fourth proportional to 10,460.52, 15,690.78 and 5,262.84 is: 7,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.52 : 15,690.78 = 5,262.84 : x
  2. Step 2: Convert to fraction form
    10,460.52/15,690.78 = 5,262.84/x
  3. Step 3: Cross multiply
    10,460.52x = 15,690.78 × 5,262.84
  4. Step 4: Simplify right side
    10,460.52x = 82,578,064.62
  5. Step 5: Solve for x
    x = 82,578,064.62/10,460.52
  6. Step 6: Final answer
    x = 7,894.26

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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.