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Finding the Fourth Proportional to 9,833, 14,753.01 and 4,570.52

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Solution

The fourth proportional to 9,833, 14,753.01 and 4,570.52 is: 6,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833 : 14,753.01 = 4,570.52 : x
  2. Step 2: Convert to fraction form
    9,833/14,753.01 = 4,570.52/x
  3. Step 3: Cross multiply
    9,833x = 14,753.01 × 4,570.52
  4. Step 4: Simplify right side
    9,833x = 67,428,927.27
  5. Step 5: Solve for x
    x = 67,428,927.27/9,833
  6. Step 6: Final answer
    x = 6,857.41

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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.