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Finding the Fourth Proportional to 4,657.28, 6,981.60 and 2,464.16

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Solution

The fourth proportional to 4,657.28, 6,981.60 and 2,464.16 is: 3,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.28 : 6,981.60 = 2,464.16 : x
  2. Step 2: Convert to fraction form
    4,657.28/6,981.60 = 2,464.16/x
  3. Step 3: Cross multiply
    4,657.28x = 6,981.60 × 2,464.16
  4. Step 4: Simplify right side
    4,657.28x = 17,203,779.46
  5. Step 5: Solve for x
    x = 17,203,779.46/4,657.28
  6. Step 6: Final answer
    x = 3,693.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.