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Finding the Fourth Proportional to 14,210.82, 19,611.03 and 7,837.65

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Solution

The fourth proportional to 14,210.82, 19,611.03 and 7,837.65 is: 10,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.82 : 19,611.03 = 7,837.65 : x
  2. Step 2: Convert to fraction form
    14,210.82/19,611.03 = 7,837.65/x
  3. Step 3: Cross multiply
    14,210.82x = 19,611.03 × 7,837.65
  4. Step 4: Simplify right side
    14,210.82x = 153,704,389.28
  5. Step 5: Solve for x
    x = 153,704,389.28/14,210.82
  6. Step 6: Final answer
    x = 10,816.01

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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.