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Finding the Fourth Proportional to 9,963.48, 14,904.90 and 8,323.32

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Solution

The fourth proportional to 9,963.48, 14,904.90 and 8,323.32 is: 12,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.48 : 14,904.90 = 8,323.32 : x
  2. Step 2: Convert to fraction form
    9,963.48/14,904.90 = 8,323.32/x
  3. Step 3: Cross multiply
    9,963.48x = 14,904.90 × 8,323.32
  4. Step 4: Simplify right side
    9,963.48x = 124,058,252.27
  5. Step 5: Solve for x
    x = 124,058,252.27/9,963.48
  6. Step 6: Final answer
    x = 12,451.30

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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.