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Finding the Fourth Proportional to 6,518.58, 9,778.01 and 1,588.25

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Solution

The fourth proportional to 6,518.58, 9,778.01 and 1,588.25 is: 2,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.58 : 9,778.01 = 1,588.25 : x
  2. Step 2: Convert to fraction form
    6,518.58/9,778.01 = 1,588.25/x
  3. Step 3: Cross multiply
    6,518.58x = 9,778.01 × 1,588.25
  4. Step 4: Simplify right side
    6,518.58x = 15,529,867.55
  5. Step 5: Solve for x
    x = 15,529,867.55/6,518.58
  6. Step 6: Final answer
    x = 2,382.40

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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.