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Finding the Fourth Proportional to 6,427.25, 9,640.88 and 1,810.25

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Solution

The fourth proportional to 6,427.25, 9,640.88 and 1,810.25 is: 2,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.25 : 9,640.88 = 1,810.25 : x
  2. Step 2: Convert to fraction form
    6,427.25/9,640.88 = 1,810.25/x
  3. Step 3: Cross multiply
    6,427.25x = 9,640.88 × 1,810.25
  4. Step 4: Simplify right side
    6,427.25x = 17,452,403.02
  5. Step 5: Solve for x
    x = 17,452,403.02/6,427.25
  6. Step 6: Final answer
    x = 2,715.38

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Half scale
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Double scale
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Similar ratio
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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.