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Finding the Fourth Proportional to 11,473.94, 15,834.05 and 6,437.46

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Solution

The fourth proportional to 11,473.94, 15,834.05 and 6,437.46 is: 8,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.94 : 15,834.05 = 6,437.46 : x
  2. Step 2: Convert to fraction form
    11,473.94/15,834.05 = 6,437.46/x
  3. Step 3: Cross multiply
    11,473.94x = 15,834.05 × 6,437.46
  4. Step 4: Simplify right side
    11,473.94x = 101,931,063.51
  5. Step 5: Solve for x
    x = 101,931,063.51/11,473.94
  6. Step 6: Final answer
    x = 8,883.70

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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.