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Finding the Fourth Proportional to 7,088.52, 9,782.10 and 3,944.76

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Solution

The fourth proportional to 7,088.52, 9,782.10 and 3,944.76 is: 5,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.52 : 9,782.10 = 3,944.76 : x
  2. Step 2: Convert to fraction form
    7,088.52/9,782.10 = 3,944.76/x
  3. Step 3: Cross multiply
    7,088.52x = 9,782.10 × 3,944.76
  4. Step 4: Simplify right side
    7,088.52x = 38,588,036.80
  5. Step 5: Solve for x
    x = 38,588,036.80/7,088.52
  6. Step 6: Final answer
    x = 5,443.74

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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.