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Finding the Fourth Proportional to 9,934.74, 13,709.89 and 5,458.77

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Solution

The fourth proportional to 9,934.74, 13,709.89 and 5,458.77 is: 7,533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.74 : 13,709.89 = 5,458.77 : x
  2. Step 2: Convert to fraction form
    9,934.74/13,709.89 = 5,458.77/x
  3. Step 3: Cross multiply
    9,934.74x = 13,709.89 × 5,458.77
  4. Step 4: Simplify right side
    9,934.74x = 74,839,136.24
  5. Step 5: Solve for x
    x = 74,839,136.24/9,934.74
  6. Step 6: Final answer
    x = 7,533.07

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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.