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Finding the Fourth Proportional to 6,507.26, 8,980.04 and 3,523.13

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Solution

The fourth proportional to 6,507.26, 8,980.04 and 3,523.13 is: 4,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.26 : 8,980.04 = 3,523.13 : x
  2. Step 2: Convert to fraction form
    6,507.26/8,980.04 = 3,523.13/x
  3. Step 3: Cross multiply
    6,507.26x = 8,980.04 × 3,523.13
  4. Step 4: Simplify right side
    6,507.26x = 31,637,785.81
  5. Step 5: Solve for x
    x = 31,637,785.81/6,507.26
  6. Step 6: Final answer
    x = 4,861.93

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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.