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Finding the Fourth Proportional to 5,826.14, 8,726.89 and 4,710.77

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Solution

The fourth proportional to 5,826.14, 8,726.89 and 4,710.77 is: 7,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.14 : 8,726.89 = 4,710.77 : x
  2. Step 2: Convert to fraction form
    5,826.14/8,726.89 = 4,710.77/x
  3. Step 3: Cross multiply
    5,826.14x = 8,726.89 × 4,710.77
  4. Step 4: Simplify right side
    5,826.14x = 41,110,406.84
  5. Step 5: Solve for x
    x = 41,110,406.84/5,826.14
  6. Step 6: Final answer
    x = 7,056.19

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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.