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Finding the Fourth Proportional to 7,766.74, 10,718.00 and 4,409.65

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Solution

The fourth proportional to 7,766.74, 10,718.00 and 4,409.65 is: 6,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.74 : 10,718.00 = 4,409.65 : x
  2. Step 2: Convert to fraction form
    7,766.74/10,718.00 = 4,409.65/x
  3. Step 3: Cross multiply
    7,766.74x = 10,718.00 × 4,409.65
  4. Step 4: Simplify right side
    7,766.74x = 47,262,586.13
  5. Step 5: Solve for x
    x = 47,262,586.13/7,766.74
  6. Step 6: Final answer
    x = 6,085.26

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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.