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Finding the Fourth Proportional to 7,700.64, 11,550.96 and 4,411.47

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Solution

The fourth proportional to 7,700.64, 11,550.96 and 4,411.47 is: 6,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.64 : 11,550.96 = 4,411.47 : x
  2. Step 2: Convert to fraction form
    7,700.64/11,550.96 = 4,411.47/x
  3. Step 3: Cross multiply
    7,700.64x = 11,550.96 × 4,411.47
  4. Step 4: Simplify right side
    7,700.64x = 50,956,713.51
  5. Step 5: Solve for x
    x = 50,956,713.51/7,700.64
  6. Step 6: Final answer
    x = 6,617.21

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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.