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Finding the Fourth Proportional to 11,556, 15,950.16 and 6,590.88

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Solution

The fourth proportional to 11,556, 15,950.16 and 6,590.88 is: 9,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 15,950.16 = 6,590.88 : x
  2. Step 2: Convert to fraction form
    11,556/15,950.16 = 6,590.88/x
  3. Step 3: Cross multiply
    11,556x = 15,950.16 × 6,590.88
  4. Step 4: Simplify right side
    11,556x = 105,125,590.54
  5. Step 5: Solve for x
    x = 105,125,590.54/11,556
  6. Step 6: Final answer
    x = 9,097.06

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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.