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Finding the Fourth Proportional to 9,545.65, 14,302.81 and 9,181.15

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Solution

The fourth proportional to 9,545.65, 14,302.81 and 9,181.15 is: 13,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.65 : 14,302.81 = 9,181.15 : x
  2. Step 2: Convert to fraction form
    9,545.65/14,302.81 = 9,181.15/x
  3. Step 3: Cross multiply
    9,545.65x = 14,302.81 × 9,181.15
  4. Step 4: Simplify right side
    9,545.65x = 131,316,244.03
  5. Step 5: Solve for x
    x = 131,316,244.03/9,545.65
  6. Step 6: Final answer
    x = 13,756.66

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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.