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Finding the Fourth Proportional to 9,807.68, 13,521.96 and 8,013.29

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Solution

The fourth proportional to 9,807.68, 13,521.96 and 8,013.29 is: 11,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.68 : 13,521.96 = 8,013.29 : x
  2. Step 2: Convert to fraction form
    9,807.68/13,521.96 = 8,013.29/x
  3. Step 3: Cross multiply
    9,807.68x = 13,521.96 × 8,013.29
  4. Step 4: Simplify right side
    9,807.68x = 108,355,319.24
  5. Step 5: Solve for x
    x = 108,355,319.24/9,807.68
  6. Step 6: Final answer
    x = 11,048.00

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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.