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Finding the Fourth Proportional to 6,499.09, 8,972.06 and 4,506.19

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Solution

The fourth proportional to 6,499.09, 8,972.06 and 4,506.19 is: 6,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.09 : 8,972.06 = 4,506.19 : x
  2. Step 2: Convert to fraction form
    6,499.09/8,972.06 = 4,506.19/x
  3. Step 3: Cross multiply
    6,499.09x = 8,972.06 × 4,506.19
  4. Step 4: Simplify right side
    6,499.09x = 40,429,807.05
  5. Step 5: Solve for x
    x = 40,429,807.05/6,499.09
  6. Step 6: Final answer
    x = 6,220.84

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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.