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Finding the Fourth Proportional to 12,891.40, 19,334.40 and 6,322.30

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Solution

The fourth proportional to 12,891.40, 19,334.40 and 6,322.30 is: 9,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.40 : 19,334.40 = 6,322.30 : x
  2. Step 2: Convert to fraction form
    12,891.40/19,334.40 = 6,322.30/x
  3. Step 3: Cross multiply
    12,891.40x = 19,334.40 × 6,322.30
  4. Step 4: Simplify right side
    12,891.40x = 122,237,877.12
  5. Step 5: Solve for x
    x = 122,237,877.12/12,891.40
  6. Step 6: Final answer
    x = 9,482.13

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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.