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Finding the Fourth Proportional to 6,538.77, 9,027.54 and 4,498.16

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Solution

The fourth proportional to 6,538.77, 9,027.54 and 4,498.16 is: 6,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.77 : 9,027.54 = 4,498.16 : x
  2. Step 2: Convert to fraction form
    6,538.77/9,027.54 = 4,498.16/x
  3. Step 3: Cross multiply
    6,538.77x = 9,027.54 × 4,498.16
  4. Step 4: Simplify right side
    6,538.77x = 40,607,274.19
  5. Step 5: Solve for x
    x = 40,607,274.19/6,538.77
  6. Step 6: Final answer
    x = 6,210.23

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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.