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Finding the Fourth Proportional to 4,653.86, 6,974.46 and 2,570.76

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Solution

The fourth proportional to 4,653.86, 6,974.46 and 2,570.76 is: 3,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.86 : 6,974.46 = 2,570.76 : x
  2. Step 2: Convert to fraction form
    4,653.86/6,974.46 = 2,570.76/x
  3. Step 3: Cross multiply
    4,653.86x = 6,974.46 × 2,570.76
  4. Step 4: Simplify right side
    4,653.86x = 17,929,662.79
  5. Step 5: Solve for x
    x = 17,929,662.79/4,653.86
  6. Step 6: Final answer
    x = 3,852.64

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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.