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Finding the Fourth Proportional to 6,573.84, 9,071.70 and 3,589.68

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Solution

The fourth proportional to 6,573.84, 9,071.70 and 3,589.68 is: 4,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.84 : 9,071.70 = 3,589.68 : x
  2. Step 2: Convert to fraction form
    6,573.84/9,071.70 = 3,589.68/x
  3. Step 3: Cross multiply
    6,573.84x = 9,071.70 × 3,589.68
  4. Step 4: Simplify right side
    6,573.84x = 32,564,500.06
  5. Step 5: Solve for x
    x = 32,564,500.06/6,573.84
  6. Step 6: Final answer
    x = 4,953.65

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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.