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Finding the Fourth Proportional to 7,851.60, 11,777.40 and 6,782.40

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Solution

The fourth proportional to 7,851.60, 11,777.40 and 6,782.40 is: 10,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.60 : 11,777.40 = 6,782.40 : x
  2. Step 2: Convert to fraction form
    7,851.60/11,777.40 = 6,782.40/x
  3. Step 3: Cross multiply
    7,851.60x = 11,777.40 × 6,782.40
  4. Step 4: Simplify right side
    7,851.60x = 79,879,037.76
  5. Step 5: Solve for x
    x = 79,879,037.76/7,851.60
  6. Step 6: Final answer
    x = 10,173.60

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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.