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Finding the Fourth Proportional to 4,710.40, 7,073.70 and 4,564.60

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Solution

The fourth proportional to 4,710.40, 7,073.70 and 4,564.60 is: 6,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.40 : 7,073.70 = 4,564.60 : x
  2. Step 2: Convert to fraction form
    4,710.40/7,073.70 = 4,564.60/x
  3. Step 3: Cross multiply
    4,710.40x = 7,073.70 × 4,564.60
  4. Step 4: Simplify right side
    4,710.40x = 32,288,611.02
  5. Step 5: Solve for x
    x = 32,288,611.02/4,710.40
  6. Step 6: Final answer
    x = 6,854.75

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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.