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Finding the Fourth Proportional to 12,803.64, 17,657.28 and 8,776.32

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Solution

The fourth proportional to 12,803.64, 17,657.28 and 8,776.32 is: 12,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.64 : 17,657.28 = 8,776.32 : x
  2. Step 2: Convert to fraction form
    12,803.64/17,657.28 = 8,776.32/x
  3. Step 3: Cross multiply
    12,803.64x = 17,657.28 × 8,776.32
  4. Step 4: Simplify right side
    12,803.64x = 154,965,939.61
  5. Step 5: Solve for x
    x = 154,965,939.61/12,803.64
  6. Step 6: Final answer
    x = 12,103.27

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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.