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Finding the Fourth Proportional to 6,416.04, 8,854.10 and 3,621.48

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Solution

The fourth proportional to 6,416.04, 8,854.10 and 3,621.48 is: 4,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.04 : 8,854.10 = 3,621.48 : x
  2. Step 2: Convert to fraction form
    6,416.04/8,854.10 = 3,621.48/x
  3. Step 3: Cross multiply
    6,416.04x = 8,854.10 × 3,621.48
  4. Step 4: Simplify right side
    6,416.04x = 32,064,946.07
  5. Step 5: Solve for x
    x = 32,064,946.07/6,416.04
  6. Step 6: Final answer
    x = 4,997.62

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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.