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Finding the Fourth Proportional to 6,508.90, 9,749.67 and 5,415.40

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Solution

The fourth proportional to 6,508.90, 9,749.67 and 5,415.40 is: 8,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.90 : 9,749.67 = 5,415.40 : x
  2. Step 2: Convert to fraction form
    6,508.90/9,749.67 = 5,415.40/x
  3. Step 3: Cross multiply
    6,508.90x = 9,749.67 × 5,415.40
  4. Step 4: Simplify right side
    6,508.90x = 52,798,362.92
  5. Step 5: Solve for x
    x = 52,798,362.92/6,508.90
  6. Step 6: Final answer
    x = 8,111.72

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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.