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Finding the Fourth Proportional to 11,527.91, 15,909.71 and 7,054.64

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Solution

The fourth proportional to 11,527.91, 15,909.71 and 7,054.64 is: 9,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.91 : 15,909.71 = 7,054.64 : x
  2. Step 2: Convert to fraction form
    11,527.91/15,909.71 = 7,054.64/x
  3. Step 3: Cross multiply
    11,527.91x = 15,909.71 × 7,054.64
  4. Step 4: Simplify right side
    11,527.91x = 112,237,161.73
  5. Step 5: Solve for x
    x = 112,237,161.73/11,527.91
  6. Step 6: Final answer
    x = 9,736.13

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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.