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Finding the Fourth Proportional to 9,589.59, 14,368.59 and 8,343

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Solution

The fourth proportional to 9,589.59, 14,368.59 and 8,343 is: 12,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.59 : 14,368.59 = 8,343 : x
  2. Step 2: Convert to fraction form
    9,589.59/14,368.59 = 8,343/x
  3. Step 3: Cross multiply
    9,589.59x = 14,368.59 × 8,343
  4. Step 4: Simplify right side
    9,589.59x = 119,877,146.37
  5. Step 5: Solve for x
    x = 119,877,146.37/9,589.59
  6. Step 6: Final answer
    x = 12,500.76

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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.