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Finding the Fourth Proportional to 6,502.77, 8,973.86 and 3,518.64

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Solution

The fourth proportional to 6,502.77, 8,973.86 and 3,518.64 is: 4,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.77 : 8,973.86 = 3,518.64 : x
  2. Step 2: Convert to fraction form
    6,502.77/8,973.86 = 3,518.64/x
  3. Step 3: Cross multiply
    6,502.77x = 8,973.86 × 3,518.64
  4. Step 4: Simplify right side
    6,502.77x = 31,575,765.16
  5. Step 5: Solve for x
    x = 31,575,765.16/6,502.77
  6. Step 6: Final answer
    x = 4,855.74

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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.