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Finding the Fourth Proportional to 4,657.40, 6,994.20 and 4,511.60

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Solution

The fourth proportional to 4,657.40, 6,994.20 and 4,511.60 is: 6,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.40 : 6,994.20 = 4,511.60 : x
  2. Step 2: Convert to fraction form
    4,657.40/6,994.20 = 4,511.60/x
  3. Step 3: Cross multiply
    4,657.40x = 6,994.20 × 4,511.60
  4. Step 4: Simplify right side
    4,657.40x = 31,555,032.72
  5. Step 5: Solve for x
    x = 31,555,032.72/4,657.40
  6. Step 6: Final answer
    x = 6,775.25

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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.