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Finding the Fourth Proportional to 21,051, 31,577.88 and 7,010.44

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Solution

The fourth proportional to 21,051, 31,577.88 and 7,010.44 is: 10,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051 : 31,577.88 = 7,010.44 : x
  2. Step 2: Convert to fraction form
    21,051/31,577.88 = 7,010.44/x
  3. Step 3: Cross multiply
    21,051x = 31,577.88 × 7,010.44
  4. Step 4: Simplify right side
    21,051x = 221,374,833.07
  5. Step 5: Solve for x
    x = 221,374,833.07/21,051
  6. Step 6: Final answer
    x = 10,516.12

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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.