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Finding the Fourth Proportional to 6,851.76, 10,277.64 and 1,657.64

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Solution

The fourth proportional to 6,851.76, 10,277.64 and 1,657.64 is: 2,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.76 : 10,277.64 = 1,657.64 : x
  2. Step 2: Convert to fraction form
    6,851.76/10,277.64 = 1,657.64/x
  3. Step 3: Cross multiply
    6,851.76x = 10,277.64 × 1,657.64
  4. Step 4: Simplify right side
    6,851.76x = 17,036,575.78
  5. Step 5: Solve for x
    x = 17,036,575.78/6,851.76
  6. Step 6: Final answer
    x = 2,486.45

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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.