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Finding the Fourth Proportional to 6,602.86, 9,107.85 and 4,085.74

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Solution

The fourth proportional to 6,602.86, 9,107.85 and 4,085.74 is: 5,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.86 : 9,107.85 = 4,085.74 : x
  2. Step 2: Convert to fraction form
    6,602.86/9,107.85 = 4,085.74/x
  3. Step 3: Cross multiply
    6,602.86x = 9,107.85 × 4,085.74
  4. Step 4: Simplify right side
    6,602.86x = 37,212,307.06
  5. Step 5: Solve for x
    x = 37,212,307.06/6,602.86
  6. Step 6: Final answer
    x = 5,635.79

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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.