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Finding the Fourth Proportional to 5,165.88, 7,776.93 and 4,706.61

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Solution

The fourth proportional to 5,165.88, 7,776.93 and 4,706.61 is: 7,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.88 : 7,776.93 = 4,706.61 : x
  2. Step 2: Convert to fraction form
    5,165.88/7,776.93 = 4,706.61/x
  3. Step 3: Cross multiply
    5,165.88x = 7,776.93 × 4,706.61
  4. Step 4: Simplify right side
    5,165.88x = 36,602,914.09
  5. Step 5: Solve for x
    x = 36,602,914.09/5,165.88
  6. Step 6: Final answer
    x = 7,085.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.