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Finding the Fourth Proportional to 7,805.60, 10,770.50 and 4,448.55

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Solution

The fourth proportional to 7,805.60, 10,770.50 and 4,448.55 is: 6,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.60 : 10,770.50 = 4,448.55 : x
  2. Step 2: Convert to fraction form
    7,805.60/10,770.50 = 4,448.55/x
  3. Step 3: Cross multiply
    7,805.60x = 10,770.50 × 4,448.55
  4. Step 4: Simplify right side
    7,805.60x = 47,913,085.53
  5. Step 5: Solve for x
    x = 47,913,085.53/7,805.60
  6. Step 6: Final answer
    x = 6,138.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.