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Finding the Fourth Proportional to 9,194.76, 12,688.65 and 5,003.01

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Solution

The fourth proportional to 9,194.76, 12,688.65 and 5,003.01 is: 6,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.76 : 12,688.65 = 5,003.01 : x
  2. Step 2: Convert to fraction form
    9,194.76/12,688.65 = 5,003.01/x
  3. Step 3: Cross multiply
    9,194.76x = 12,688.65 × 5,003.01
  4. Step 4: Simplify right side
    9,194.76x = 63,481,442.84
  5. Step 5: Solve for x
    x = 63,481,442.84/9,194.76
  6. Step 6: Final answer
    x = 6,904.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.