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Finding the Fourth Proportional to 10,726.48, 14,813.24 and 8,844.45

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Solution

The fourth proportional to 10,726.48, 14,813.24 and 8,844.45 is: 12,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.48 : 14,813.24 = 8,844.45 : x
  2. Step 2: Convert to fraction form
    10,726.48/14,813.24 = 8,844.45/x
  3. Step 3: Cross multiply
    10,726.48x = 14,813.24 × 8,844.45
  4. Step 4: Simplify right side
    10,726.48x = 131,014,960.52
  5. Step 5: Solve for x
    x = 131,014,960.52/10,726.48
  6. Step 6: Final answer
    x = 12,214.16

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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.