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Finding the Fourth Proportional to 6,474.08, 8,931.12 and 4,612.16

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Solution

The fourth proportional to 6,474.08, 8,931.12 and 4,612.16 is: 6,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.08 : 8,931.12 = 4,612.16 : x
  2. Step 2: Convert to fraction form
    6,474.08/8,931.12 = 4,612.16/x
  3. Step 3: Cross multiply
    6,474.08x = 8,931.12 × 4,612.16
  4. Step 4: Simplify right side
    6,474.08x = 41,191,754.42
  5. Step 5: Solve for x
    x = 41,191,754.42/6,474.08
  6. Step 6: Final answer
    x = 6,362.56

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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.