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Finding the Fourth Proportional to 23,875.25, 35,812.88 and 7,459.25

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Solution

The fourth proportional to 23,875.25, 35,812.88 and 7,459.25 is: 11,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.25 : 35,812.88 = 7,459.25 : x
  2. Step 2: Convert to fraction form
    23,875.25/35,812.88 = 7,459.25/x
  3. Step 3: Cross multiply
    23,875.25x = 35,812.88 × 7,459.25
  4. Step 4: Simplify right side
    23,875.25x = 267,137,187.84
  5. Step 5: Solve for x
    x = 267,137,187.84/23,875.25
  6. Step 6: Final answer
    x = 11,188.88

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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.