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Finding the Fourth Proportional to 9,957.08, 14,927.70 and 6,827.60

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Solution

The fourth proportional to 9,957.08, 14,927.70 and 6,827.60 is: 10,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.08 : 14,927.70 = 6,827.60 : x
  2. Step 2: Convert to fraction form
    9,957.08/14,927.70 = 6,827.60/x
  3. Step 3: Cross multiply
    9,957.08x = 14,927.70 × 6,827.60
  4. Step 4: Simplify right side
    9,957.08x = 101,920,364.52
  5. Step 5: Solve for x
    x = 101,920,364.52/9,957.08
  6. Step 6: Final answer
    x = 10,235.97

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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.