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Finding the Fourth Proportional to 9,596.47, 14,389.69 and 4,326.94

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Solution

The fourth proportional to 9,596.47, 14,389.69 and 4,326.94 is: 6,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.47 : 14,389.69 = 4,326.94 : x
  2. Step 2: Convert to fraction form
    9,596.47/14,389.69 = 4,326.94/x
  3. Step 3: Cross multiply
    9,596.47x = 14,389.69 × 4,326.94
  4. Step 4: Simplify right side
    9,596.47x = 62,263,325.25
  5. Step 5: Solve for x
    x = 62,263,325.25/9,596.47
  6. Step 6: Final answer
    x = 6,488.15

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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.