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Finding the Fourth Proportional to 9,811.20, 14,716.80 and 4,263.60

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Solution

The fourth proportional to 9,811.20, 14,716.80 and 4,263.60 is: 6,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.20 : 14,716.80 = 4,263.60 : x
  2. Step 2: Convert to fraction form
    9,811.20/14,716.80 = 4,263.60/x
  3. Step 3: Cross multiply
    9,811.20x = 14,716.80 × 4,263.60
  4. Step 4: Simplify right side
    9,811.20x = 62,746,548.48
  5. Step 5: Solve for x
    x = 62,746,548.48/9,811.20
  6. Step 6: Final answer
    x = 6,395.40

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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.