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Finding the Fourth Proportional to 6,970.60, 10,455.90 and 4,205.80

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Solution

The fourth proportional to 6,970.60, 10,455.90 and 4,205.80 is: 6,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.60 : 10,455.90 = 4,205.80 : x
  2. Step 2: Convert to fraction form
    6,970.60/10,455.90 = 4,205.80/x
  3. Step 3: Cross multiply
    6,970.60x = 10,455.90 × 4,205.80
  4. Step 4: Simplify right side
    6,970.60x = 43,975,424.22
  5. Step 5: Solve for x
    x = 43,975,424.22/6,970.60
  6. Step 6: Final answer
    x = 6,308.70

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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.