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Finding the Fourth Proportional to 12,803.58, 19,194.00 and 6,883.64

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Solution

The fourth proportional to 12,803.58, 19,194.00 and 6,883.64 is: 10,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.58 : 19,194.00 = 6,883.64 : x
  2. Step 2: Convert to fraction form
    12,803.58/19,194.00 = 6,883.64/x
  3. Step 3: Cross multiply
    12,803.58x = 19,194.00 × 6,883.64
  4. Step 4: Simplify right side
    12,803.58x = 132,124,578.89
  5. Step 5: Solve for x
    x = 132,124,578.89/12,803.58
  6. Step 6: Final answer
    x = 10,319.35

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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.