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Finding the Fourth Proportional to 6,580.24, 9,823.22 and 6,100.24

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Solution

The fourth proportional to 6,580.24, 9,823.22 and 6,100.24 is: 9,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.24 : 9,823.22 = 6,100.24 : x
  2. Step 2: Convert to fraction form
    6,580.24/9,823.22 = 6,100.24/x
  3. Step 3: Cross multiply
    6,580.24x = 9,823.22 × 6,100.24
  4. Step 4: Simplify right side
    6,580.24x = 59,923,999.57
  5. Step 5: Solve for x
    x = 59,923,999.57/6,580.24
  6. Step 6: Final answer
    x = 9,106.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.