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Finding the Fourth Proportional to 7,071.54, 9,758.00 and 4,088.34

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Solution

The fourth proportional to 7,071.54, 9,758.00 and 4,088.34 is: 5,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.54 : 9,758.00 = 4,088.34 : x
  2. Step 2: Convert to fraction form
    7,071.54/9,758.00 = 4,088.34/x
  3. Step 3: Cross multiply
    7,071.54x = 9,758.00 × 4,088.34
  4. Step 4: Simplify right side
    7,071.54x = 39,893,952.49
  5. Step 5: Solve for x
    x = 39,893,952.49/7,071.54
  6. Step 6: Final answer
    x = 5,641.48

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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.