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Finding the Fourth Proportional to 9,762.03, 13,471.62 and 5,285.82

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Solution

The fourth proportional to 9,762.03, 13,471.62 and 5,285.82 is: 7,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.03 : 13,471.62 = 5,285.82 : x
  2. Step 2: Convert to fraction form
    9,762.03/13,471.62 = 5,285.82/x
  3. Step 3: Cross multiply
    9,762.03x = 13,471.62 × 5,285.82
  4. Step 4: Simplify right side
    9,762.03x = 71,208,558.43
  5. Step 5: Solve for x
    x = 71,208,558.43/9,762.03
  6. Step 6: Final answer
    x = 7,294.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.