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Finding the Fourth Proportional to 6,998.10, 10,509.30 and 4,932.60

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Solution

The fourth proportional to 6,998.10, 10,509.30 and 4,932.60 is: 7,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.10 : 10,509.30 = 4,932.60 : x
  2. Step 2: Convert to fraction form
    6,998.10/10,509.30 = 4,932.60/x
  3. Step 3: Cross multiply
    6,998.10x = 10,509.30 × 4,932.60
  4. Step 4: Simplify right side
    6,998.10x = 51,838,173.18
  5. Step 5: Solve for x
    x = 51,838,173.18/6,998.10
  6. Step 6: Final answer
    x = 7,407.46

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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.