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Finding the Fourth Proportional to 6,500.94, 8,971.47 and 4,015.50

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Solution

The fourth proportional to 6,500.94, 8,971.47 and 4,015.50 is: 5,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.94 : 8,971.47 = 4,015.50 : x
  2. Step 2: Convert to fraction form
    6,500.94/8,971.47 = 4,015.50/x
  3. Step 3: Cross multiply
    6,500.94x = 8,971.47 × 4,015.50
  4. Step 4: Simplify right side
    6,500.94x = 36,024,937.79
  5. Step 5: Solve for x
    x = 36,024,937.79/6,500.94
  6. Step 6: Final answer
    x = 5,541.50

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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.