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Finding the Fourth Proportional to 9,596.53, 14,367.45 and 8,656.12

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Solution

The fourth proportional to 9,596.53, 14,367.45 and 8,656.12 is: 12,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.53 : 14,367.45 = 8,656.12 : x
  2. Step 2: Convert to fraction form
    9,596.53/14,367.45 = 8,656.12/x
  3. Step 3: Cross multiply
    9,596.53x = 14,367.45 × 8,656.12
  4. Step 4: Simplify right side
    9,596.53x = 124,366,316.55
  5. Step 5: Solve for x
    x = 124,366,316.55/9,596.53
  6. Step 6: Final answer
    x = 12,959.51

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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.