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Finding the Fourth Proportional to 6,364.53, 9,545.70 and 1,684.59

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Solution

The fourth proportional to 6,364.53, 9,545.70 and 1,684.59 is: 2,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.53 : 9,545.70 = 1,684.59 : x
  2. Step 2: Convert to fraction form
    6,364.53/9,545.70 = 1,684.59/x
  3. Step 3: Cross multiply
    6,364.53x = 9,545.70 × 1,684.59
  4. Step 4: Simplify right side
    6,364.53x = 16,080,590.76
  5. Step 5: Solve for x
    x = 16,080,590.76/6,364.53
  6. Step 6: Final answer
    x = 2,526.60

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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.