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Finding the Fourth Proportional to 9,655.95, 14,491.62 and 8,285.43

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Solution

The fourth proportional to 9,655.95, 14,491.62 and 8,285.43 is: 12,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.95 : 14,491.62 = 8,285.43 : x
  2. Step 2: Convert to fraction form
    9,655.95/14,491.62 = 8,285.43/x
  3. Step 3: Cross multiply
    9,655.95x = 14,491.62 × 8,285.43
  4. Step 4: Simplify right side
    9,655.95x = 120,069,303.10
  5. Step 5: Solve for x
    x = 120,069,303.10/9,655.95
  6. Step 6: Final answer
    x = 12,434.75

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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.