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Finding the Fourth Proportional to 7,594.64, 10,477.80 and 4,449.68

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Solution

The fourth proportional to 7,594.64, 10,477.80 and 4,449.68 is: 6,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.64 : 10,477.80 = 4,449.68 : x
  2. Step 2: Convert to fraction form
    7,594.64/10,477.80 = 4,449.68/x
  3. Step 3: Cross multiply
    7,594.64x = 10,477.80 × 4,449.68
  4. Step 4: Simplify right side
    7,594.64x = 46,622,857.10
  5. Step 5: Solve for x
    x = 46,622,857.10/7,594.64
  6. Step 6: Final answer
    x = 6,138.92

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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.