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Finding the Fourth Proportional to 5,807.25, 8,710.86 and 1,647.26

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Solution

The fourth proportional to 5,807.25, 8,710.86 and 1,647.26 is: 2,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.25 : 8,710.86 = 1,647.26 : x
  2. Step 2: Convert to fraction form
    5,807.25/8,710.86 = 1,647.26/x
  3. Step 3: Cross multiply
    5,807.25x = 8,710.86 × 1,647.26
  4. Step 4: Simplify right side
    5,807.25x = 14,349,051.24
  5. Step 5: Solve for x
    x = 14,349,051.24/5,807.25
  6. Step 6: Final answer
    x = 2,470.89

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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.