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Finding the Fourth Proportional to 9,133.56, 12,603.42 and 5,154

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Solution

The fourth proportional to 9,133.56, 12,603.42 and 5,154 is: 7,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.56 : 12,603.42 = 5,154 : x
  2. Step 2: Convert to fraction form
    9,133.56/12,603.42 = 5,154/x
  3. Step 3: Cross multiply
    9,133.56x = 12,603.42 × 5,154
  4. Step 4: Simplify right side
    9,133.56x = 64,958,026.68
  5. Step 5: Solve for x
    x = 64,958,026.68/9,133.56
  6. Step 6: Final answer
    x = 7,112.02

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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.