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Finding the Fourth Proportional to 4,503.80, 6,755.70 and 1,582.40

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Solution

The fourth proportional to 4,503.80, 6,755.70 and 1,582.40 is: 2,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.80 : 6,755.70 = 1,582.40 : x
  2. Step 2: Convert to fraction form
    4,503.80/6,755.70 = 1,582.40/x
  3. Step 3: Cross multiply
    4,503.80x = 6,755.70 × 1,582.40
  4. Step 4: Simplify right side
    4,503.80x = 10,690,219.68
  5. Step 5: Solve for x
    x = 10,690,219.68/4,503.80
  6. Step 6: Final answer
    x = 2,373.60

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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.