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Finding the Fourth Proportional to 21,875.88, 32,814.28 and 7,084.76

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Solution

The fourth proportional to 21,875.88, 32,814.28 and 7,084.76 is: 10,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875.88 : 32,814.28 = 7,084.76 : x
  2. Step 2: Convert to fraction form
    21,875.88/32,814.28 = 7,084.76/x
  3. Step 3: Cross multiply
    21,875.88x = 32,814.28 × 7,084.76
  4. Step 4: Simplify right side
    21,875.88x = 232,481,298.37
  5. Step 5: Solve for x
    x = 232,481,298.37/21,875.88
  6. Step 6: Final answer
    x = 10,627.29

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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.