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Finding the Fourth Proportional to 6,291.50, 9,437.25 and 2,187.50

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Solution

The fourth proportional to 6,291.50, 9,437.25 and 2,187.50 is: 3,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.50 : 9,437.25 = 2,187.50 : x
  2. Step 2: Convert to fraction form
    6,291.50/9,437.25 = 2,187.50/x
  3. Step 3: Cross multiply
    6,291.50x = 9,437.25 × 2,187.50
  4. Step 4: Simplify right side
    6,291.50x = 20,643,984.38
  5. Step 5: Solve for x
    x = 20,643,984.38/6,291.50
  6. Step 6: Final answer
    x = 3,281.25

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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.