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Finding the Fourth Proportional to 4,713.86, 6,505 and 2,826.51

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Solution

The fourth proportional to 4,713.86, 6,505 and 2,826.51 is: 3,900.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.86 : 6,505 = 2,826.51 : x
  2. Step 2: Convert to fraction form
    4,713.86/6,505 = 2,826.51/x
  3. Step 3: Cross multiply
    4,713.86x = 6,505 × 2,826.51
  4. Step 4: Simplify right side
    4,713.86x = 18,386,447.55
  5. Step 5: Solve for x
    x = 18,386,447.55/4,713.86
  6. Step 6: Final answer
    x = 3,900.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.