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Finding the Fourth Proportional to 9,583.74, 14,348.92 and 4,893.60

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Solution

The fourth proportional to 9,583.74, 14,348.92 and 4,893.60 is: 7,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.74 : 14,348.92 = 4,893.60 : x
  2. Step 2: Convert to fraction form
    9,583.74/14,348.92 = 4,893.60/x
  3. Step 3: Cross multiply
    9,583.74x = 14,348.92 × 4,893.60
  4. Step 4: Simplify right side
    9,583.74x = 70,217,874.91
  5. Step 5: Solve for x
    x = 70,217,874.91/9,583.74
  6. Step 6: Final answer
    x = 7,326.77

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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.