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Finding the Fourth Proportional to 8,001.86, 11,017.48 and 6,804.48

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Solution

The fourth proportional to 8,001.86, 11,017.48 and 6,804.48 is: 9,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.86 : 11,017.48 = 6,804.48 : x
  2. Step 2: Convert to fraction form
    8,001.86/11,017.48 = 6,804.48/x
  3. Step 3: Cross multiply
    8,001.86x = 11,017.48 × 6,804.48
  4. Step 4: Simplify right side
    8,001.86x = 74,968,222.31
  5. Step 5: Solve for x
    x = 74,968,222.31/8,001.86
  6. Step 6: Final answer
    x = 9,368.85

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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.