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Finding the Fourth Proportional to 7,005.90, 10,510.14 and 2,008.05

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Solution

The fourth proportional to 7,005.90, 10,510.14 and 2,008.05 is: 3,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.90 : 10,510.14 = 2,008.05 : x
  2. Step 2: Convert to fraction form
    7,005.90/10,510.14 = 2,008.05/x
  3. Step 3: Cross multiply
    7,005.90x = 10,510.14 × 2,008.05
  4. Step 4: Simplify right side
    7,005.90x = 21,104,886.63
  5. Step 5: Solve for x
    x = 21,104,886.63/7,005.90
  6. Step 6: Final answer
    x = 3,012.44

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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.