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Finding the Fourth Proportional to 5,048.64, 6,964.56 and 3,477.60

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Solution

The fourth proportional to 5,048.64, 6,964.56 and 3,477.60 is: 4,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.64 : 6,964.56 = 3,477.60 : x
  2. Step 2: Convert to fraction form
    5,048.64/6,964.56 = 3,477.60/x
  3. Step 3: Cross multiply
    5,048.64x = 6,964.56 × 3,477.60
  4. Step 4: Simplify right side
    5,048.64x = 24,219,953.86
  5. Step 5: Solve for x
    x = 24,219,953.86/5,048.64
  6. Step 6: Final answer
    x = 4,797.32

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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.