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Finding the Fourth Proportional to 7,771.60, 11,657.40 and 4,272.40

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Solution

The fourth proportional to 7,771.60, 11,657.40 and 4,272.40 is: 6,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.60 : 11,657.40 = 4,272.40 : x
  2. Step 2: Convert to fraction form
    7,771.60/11,657.40 = 4,272.40/x
  3. Step 3: Cross multiply
    7,771.60x = 11,657.40 × 4,272.40
  4. Step 4: Simplify right side
    7,771.60x = 49,805,075.76
  5. Step 5: Solve for x
    x = 49,805,075.76/7,771.60
  6. Step 6: Final answer
    x = 6,408.60

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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.