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Finding the Fourth Proportional to 6,985.65, 10,477.01 and 2,053.95

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Solution

The fourth proportional to 6,985.65, 10,477.01 and 2,053.95 is: 3,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.65 : 10,477.01 = 2,053.95 : x
  2. Step 2: Convert to fraction form
    6,985.65/10,477.01 = 2,053.95/x
  3. Step 3: Cross multiply
    6,985.65x = 10,477.01 × 2,053.95
  4. Step 4: Simplify right side
    6,985.65x = 21,519,244.42
  5. Step 5: Solve for x
    x = 21,519,244.42/6,985.65
  6. Step 6: Final answer
    x = 3,080.49

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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.