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Finding the Fourth Proportional to 7,088.95, 9,782.84 and 3,902.62

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Solution

The fourth proportional to 7,088.95, 9,782.84 and 3,902.62 is: 5,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.95 : 9,782.84 = 3,902.62 : x
  2. Step 2: Convert to fraction form
    7,088.95/9,782.84 = 3,902.62/x
  3. Step 3: Cross multiply
    7,088.95x = 9,782.84 × 3,902.62
  4. Step 4: Simplify right side
    7,088.95x = 38,178,707.04
  5. Step 5: Solve for x
    x = 38,178,707.04/7,088.95
  6. Step 6: Final answer
    x = 5,385.66

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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.