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Finding the Fourth Proportional to 6,510.96, 8,984.16 and 3,677.58

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Solution

The fourth proportional to 6,510.96, 8,984.16 and 3,677.58 is: 5,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.96 : 8,984.16 = 3,677.58 : x
  2. Step 2: Convert to fraction form
    6,510.96/8,984.16 = 3,677.58/x
  3. Step 3: Cross multiply
    6,510.96x = 8,984.16 × 3,677.58
  4. Step 4: Simplify right side
    6,510.96x = 33,039,967.13
  5. Step 5: Solve for x
    x = 33,039,967.13/6,510.96
  6. Step 6: Final answer
    x = 5,074.52

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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.