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Finding the Fourth Proportional to 9,545.46, 14,315.46 and 3,303.84

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Solution

The fourth proportional to 9,545.46, 14,315.46 and 3,303.84 is: 4,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.46 : 14,315.46 = 3,303.84 : x
  2. Step 2: Convert to fraction form
    9,545.46/14,315.46 = 3,303.84/x
  3. Step 3: Cross multiply
    9,545.46x = 14,315.46 × 3,303.84
  4. Step 4: Simplify right side
    9,545.46x = 47,295,989.37
  5. Step 5: Solve for x
    x = 47,295,989.37/9,545.46
  6. Step 6: Final answer
    x = 4,954.82

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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.