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Finding the Fourth Proportional to 7,710.83, 10,641.42 and 4,352.42

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Solution

The fourth proportional to 7,710.83, 10,641.42 and 4,352.42 is: 6,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.83 : 10,641.42 = 4,352.42 : x
  2. Step 2: Convert to fraction form
    7,710.83/10,641.42 = 4,352.42/x
  3. Step 3: Cross multiply
    7,710.83x = 10,641.42 × 4,352.42
  4. Step 4: Simplify right side
    7,710.83x = 46,315,929.24
  5. Step 5: Solve for x
    x = 46,315,929.24/7,710.83
  6. Step 6: Final answer
    x = 6,006.61

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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.