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Finding the Fourth Proportional to 7,702.84, 11,561.58 and 4,786.84

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Solution

The fourth proportional to 7,702.84, 11,561.58 and 4,786.84 is: 7,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.84 : 11,561.58 = 4,786.84 : x
  2. Step 2: Convert to fraction form
    7,702.84/11,561.58 = 4,786.84/x
  3. Step 3: Cross multiply
    7,702.84x = 11,561.58 × 4,786.84
  4. Step 4: Simplify right side
    7,702.84x = 55,343,433.61
  5. Step 5: Solve for x
    x = 55,343,433.61/7,702.84
  6. Step 6: Final answer
    x = 7,184.81

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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.