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Finding the Fourth Proportional to 6,502.86, 8,973.98 and 3,670.35

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Solution

The fourth proportional to 6,502.86, 8,973.98 and 3,670.35 is: 5,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.86 : 8,973.98 = 3,670.35 : x
  2. Step 2: Convert to fraction form
    6,502.86/8,973.98 = 3,670.35/x
  3. Step 3: Cross multiply
    6,502.86x = 8,973.98 × 3,670.35
  4. Step 4: Simplify right side
    6,502.86x = 32,937,619.58
  5. Step 5: Solve for x
    x = 32,937,619.58/6,502.86
  6. Step 6: Final answer
    x = 5,065.10

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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.