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Finding the Fourth Proportional to 6,188.86, 9,283.15 and 1,508.90

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Solution

The fourth proportional to 6,188.86, 9,283.15 and 1,508.90 is: 2,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.86 : 9,283.15 = 1,508.90 : x
  2. Step 2: Convert to fraction form
    6,188.86/9,283.15 = 1,508.90/x
  3. Step 3: Cross multiply
    6,188.86x = 9,283.15 × 1,508.90
  4. Step 4: Simplify right side
    6,188.86x = 14,007,291.07
  5. Step 5: Solve for x
    x = 14,007,291.07/6,188.86
  6. Step 6: Final answer
    x = 2,263.31

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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.