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Finding the Fourth Proportional to 6,088.04, 9,131.98 and 1,471

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Solution

The fourth proportional to 6,088.04, 9,131.98 and 1,471 is: 2,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.04 : 9,131.98 = 1,471 : x
  2. Step 2: Convert to fraction form
    6,088.04/9,131.98 = 1,471/x
  3. Step 3: Cross multiply
    6,088.04x = 9,131.98 × 1,471
  4. Step 4: Simplify right side
    6,088.04x = 13,433,142.58
  5. Step 5: Solve for x
    x = 13,433,142.58/6,088.04
  6. Step 6: Final answer
    x = 2,206.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.