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Finding the Fourth Proportional to 7,071.99, 9,758.78 and 4,088.02

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Solution

The fourth proportional to 7,071.99, 9,758.78 and 4,088.02 is: 5,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.99 : 9,758.78 = 4,088.02 : x
  2. Step 2: Convert to fraction form
    7,071.99/9,758.78 = 4,088.02/x
  3. Step 3: Cross multiply
    7,071.99x = 9,758.78 × 4,088.02
  4. Step 4: Simplify right side
    7,071.99x = 39,894,087.82
  5. Step 5: Solve for x
    x = 39,894,087.82/7,071.99
  6. Step 6: Final answer
    x = 5,641.14

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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.