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Finding the Fourth Proportional to 9,856.41, 13,578.74 and 6,866.83

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Solution

The fourth proportional to 9,856.41, 13,578.74 and 6,866.83 is: 9,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.41 : 13,578.74 = 6,866.83 : x
  2. Step 2: Convert to fraction form
    9,856.41/13,578.74 = 6,866.83/x
  3. Step 3: Cross multiply
    9,856.41x = 13,578.74 × 6,866.83
  4. Step 4: Simplify right side
    9,856.41x = 93,242,864.86
  5. Step 5: Solve for x
    x = 93,242,864.86/9,856.41
  6. Step 6: Final answer
    x = 9,460.13

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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.