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Finding the Fourth Proportional to 9,776.64, 14,603.52 and 8,221.44

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Solution

The fourth proportional to 9,776.64, 14,603.52 and 8,221.44 is: 12,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.64 : 14,603.52 = 8,221.44 : x
  2. Step 2: Convert to fraction form
    9,776.64/14,603.52 = 8,221.44/x
  3. Step 3: Cross multiply
    9,776.64x = 14,603.52 × 8,221.44
  4. Step 4: Simplify right side
    9,776.64x = 120,061,963.47
  5. Step 5: Solve for x
    x = 120,061,963.47/9,776.64
  6. Step 6: Final answer
    x = 12,280.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.