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Finding the Fourth Proportional to 10,588.78, 15,883.02 and 2,583.58

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Solution

The fourth proportional to 10,588.78, 15,883.02 and 2,583.58 is: 3,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.78 : 15,883.02 = 2,583.58 : x
  2. Step 2: Convert to fraction form
    10,588.78/15,883.02 = 2,583.58/x
  3. Step 3: Cross multiply
    10,588.78x = 15,883.02 × 2,583.58
  4. Step 4: Simplify right side
    10,588.78x = 41,035,052.81
  5. Step 5: Solve for x
    x = 41,035,052.81/10,588.78
  6. Step 6: Final answer
    x = 3,875.33

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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.