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Finding the Fourth Proportional to 7,802.94, 11,701.97 and 2,607.60

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Solution

The fourth proportional to 7,802.94, 11,701.97 and 2,607.60 is: 3,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.94 : 11,701.97 = 2,607.60 : x
  2. Step 2: Convert to fraction form
    7,802.94/11,701.97 = 2,607.60/x
  3. Step 3: Cross multiply
    7,802.94x = 11,701.97 × 2,607.60
  4. Step 4: Simplify right side
    7,802.94x = 30,514,043.93
  5. Step 5: Solve for x
    x = 30,514,043.93/7,802.94
  6. Step 6: Final answer
    x = 3,910.58

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1.5x scale

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.