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Finding the Fourth Proportional to 9,815.10, 13,545.19 and 5,624.16

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Solution

The fourth proportional to 9,815.10, 13,545.19 and 5,624.16 is: 7,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.10 : 13,545.19 = 5,624.16 : x
  2. Step 2: Convert to fraction form
    9,815.10/13,545.19 = 5,624.16/x
  3. Step 3: Cross multiply
    9,815.10x = 13,545.19 × 5,624.16
  4. Step 4: Simplify right side
    9,815.10x = 76,180,315.79
  5. Step 5: Solve for x
    x = 76,180,315.79/9,815.10
  6. Step 6: Final answer
    x = 7,761.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.