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Finding the Fourth Proportional to 10,678.01, 16,017.08 and 7,003.51

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Solution

The fourth proportional to 10,678.01, 16,017.08 and 7,003.51 is: 10,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.01 : 16,017.08 = 7,003.51 : x
  2. Step 2: Convert to fraction form
    10,678.01/16,017.08 = 7,003.51/x
  3. Step 3: Cross multiply
    10,678.01x = 16,017.08 × 7,003.51
  4. Step 4: Simplify right side
    10,678.01x = 112,175,794.99
  5. Step 5: Solve for x
    x = 112,175,794.99/10,678.01
  6. Step 6: Final answer
    x = 10,505.31

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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.