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Finding the Fourth Proportional to 9,125, 12,592.44 and 5,146.14

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Solution

The fourth proportional to 9,125, 12,592.44 and 5,146.14 is: 7,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125 : 12,592.44 = 5,146.14 : x
  2. Step 2: Convert to fraction form
    9,125/12,592.44 = 5,146.14/x
  3. Step 3: Cross multiply
    9,125x = 12,592.44 × 5,146.14
  4. Step 4: Simplify right side
    9,125x = 64,802,459.18
  5. Step 5: Solve for x
    x = 64,802,459.18/9,125
  6. Step 6: Final answer
    x = 7,101.64

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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.