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Finding the Fourth Proportional to 7,026.35, 9,705.72 and 5,715.97

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Solution

The fourth proportional to 7,026.35, 9,705.72 and 5,715.97 is: 7,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.35 : 9,705.72 = 5,715.97 : x
  2. Step 2: Convert to fraction form
    7,026.35/9,705.72 = 5,715.97/x
  3. Step 3: Cross multiply
    7,026.35x = 9,705.72 × 5,715.97
  4. Step 4: Simplify right side
    7,026.35x = 55,477,601.52
  5. Step 5: Solve for x
    x = 55,477,601.52/7,026.35
  6. Step 6: Final answer
    x = 7,895.66

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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.