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Finding the Fourth Proportional to 7,073.84, 9,758.76 and 4,713.68

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Solution

The fourth proportional to 7,073.84, 9,758.76 and 4,713.68 is: 6,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.84 : 9,758.76 = 4,713.68 : x
  2. Step 2: Convert to fraction form
    7,073.84/9,758.76 = 4,713.68/x
  3. Step 3: Cross multiply
    7,073.84x = 9,758.76 × 4,713.68
  4. Step 4: Simplify right side
    7,073.84x = 45,999,671.84
  5. Step 5: Solve for x
    x = 45,999,671.84/7,073.84
  6. Step 6: Final answer
    x = 6,502.79

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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.