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Finding the Fourth Proportional to 11,386.22, 15,714.02 and 6,911.11

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Solution

The fourth proportional to 11,386.22, 15,714.02 and 6,911.11 is: 9,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.22 : 15,714.02 = 6,911.11 : x
  2. Step 2: Convert to fraction form
    11,386.22/15,714.02 = 6,911.11/x
  3. Step 3: Cross multiply
    11,386.22x = 15,714.02 × 6,911.11
  4. Step 4: Simplify right side
    11,386.22x = 108,601,320.76
  5. Step 5: Solve for x
    x = 108,601,320.76/11,386.22
  6. Step 6: Final answer
    x = 9,537.96

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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.