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Finding the Fourth Proportional to 9,188.37, 13,774.46 and 6,845.45

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Solution

The fourth proportional to 9,188.37, 13,774.46 and 6,845.45 is: 10,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.37 : 13,774.46 = 6,845.45 : x
  2. Step 2: Convert to fraction form
    9,188.37/13,774.46 = 6,845.45/x
  3. Step 3: Cross multiply
    9,188.37x = 13,774.46 × 6,845.45
  4. Step 4: Simplify right side
    9,188.37x = 94,292,274.11
  5. Step 5: Solve for x
    x = 94,292,274.11/9,188.37
  6. Step 6: Final answer
    x = 10,262.13

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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.