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Finding the Fourth Proportional to 6,975.20, 10,462.80 and 4,210.40

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Solution

The fourth proportional to 6,975.20, 10,462.80 and 4,210.40 is: 6,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.20 : 10,462.80 = 4,210.40 : x
  2. Step 2: Convert to fraction form
    6,975.20/10,462.80 = 4,210.40/x
  3. Step 3: Cross multiply
    6,975.20x = 10,462.80 × 4,210.40
  4. Step 4: Simplify right side
    6,975.20x = 44,052,573.12
  5. Step 5: Solve for x
    x = 44,052,573.12/6,975.20
  6. Step 6: Final answer
    x = 6,315.60

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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.