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Finding the Fourth Proportional to 9,807.12, 14,618.30 and 9,019.80

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Solution

The fourth proportional to 9,807.12, 14,618.30 and 9,019.80 is: 13,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.12 : 14,618.30 = 9,019.80 : x
  2. Step 2: Convert to fraction form
    9,807.12/14,618.30 = 9,019.80/x
  3. Step 3: Cross multiply
    9,807.12x = 14,618.30 × 9,019.80
  4. Step 4: Simplify right side
    9,807.12x = 131,854,097.24
  5. Step 5: Solve for x
    x = 131,854,097.24/9,807.12
  6. Step 6: Final answer
    x = 13,444.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.