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Finding the Fourth Proportional to 21,091, 31,636.55 and 6,298.76

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Solution

The fourth proportional to 21,091, 31,636.55 and 6,298.76 is: 9,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091 : 31,636.55 = 6,298.76 : x
  2. Step 2: Convert to fraction form
    21,091/31,636.55 = 6,298.76/x
  3. Step 3: Cross multiply
    21,091x = 31,636.55 × 6,298.76
  4. Step 4: Simplify right side
    21,091x = 199,271,035.68
  5. Step 5: Solve for x
    x = 199,271,035.68/21,091
  6. Step 6: Final answer
    x = 9,448.15

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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.