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Finding the Fourth Proportional to 6,190.07, 9,285 and 1,510.08

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Solution

The fourth proportional to 6,190.07, 9,285 and 1,510.08 is: 2,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.07 : 9,285 = 1,510.08 : x
  2. Step 2: Convert to fraction form
    6,190.07/9,285 = 1,510.08/x
  3. Step 3: Cross multiply
    6,190.07x = 9,285 × 1,510.08
  4. Step 4: Simplify right side
    6,190.07x = 14,021,092.80
  5. Step 5: Solve for x
    x = 14,021,092.80/6,190.07
  6. Step 6: Final answer
    x = 2,265.10

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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.