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Finding the Fourth Proportional to 6,427.84, 9,640.32 and 1,811.20

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Solution

The fourth proportional to 6,427.84, 9,640.32 and 1,811.20 is: 2,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.84 : 9,640.32 = 1,811.20 : x
  2. Step 2: Convert to fraction form
    6,427.84/9,640.32 = 1,811.20/x
  3. Step 3: Cross multiply
    6,427.84x = 9,640.32 × 1,811.20
  4. Step 4: Simplify right side
    6,427.84x = 17,460,547.58
  5. Step 5: Solve for x
    x = 17,460,547.58/6,427.84
  6. Step 6: Final answer
    x = 2,716.39

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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.