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Finding the Fourth Proportional to 5,051.34, 6,971.04 and 2,813.22

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Solution

The fourth proportional to 5,051.34, 6,971.04 and 2,813.22 is: 3,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.34 : 6,971.04 = 2,813.22 : x
  2. Step 2: Convert to fraction form
    5,051.34/6,971.04 = 2,813.22/x
  3. Step 3: Cross multiply
    5,051.34x = 6,971.04 × 2,813.22
  4. Step 4: Simplify right side
    5,051.34x = 19,611,069.15
  5. Step 5: Solve for x
    x = 19,611,069.15/5,051.34
  6. Step 6: Final answer
    x = 3,882.35

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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.