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Finding the Fourth Proportional to 8,003.61, 11,044.98 and 4,647.06

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Solution

The fourth proportional to 8,003.61, 11,044.98 and 4,647.06 is: 6,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.61 : 11,044.98 = 4,647.06 : x
  2. Step 2: Convert to fraction form
    8,003.61/11,044.98 = 4,647.06/x
  3. Step 3: Cross multiply
    8,003.61x = 11,044.98 × 4,647.06
  4. Step 4: Simplify right side
    8,003.61x = 51,326,684.76
  5. Step 5: Solve for x
    x = 51,326,684.76/8,003.61
  6. Step 6: Final answer
    x = 6,412.94

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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.