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Finding the Fourth Proportional to 9,569.34, 14,343.08 and 5,874.22

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Solution

The fourth proportional to 9,569.34, 14,343.08 and 5,874.22 is: 8,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.34 : 14,343.08 = 5,874.22 : x
  2. Step 2: Convert to fraction form
    9,569.34/14,343.08 = 5,874.22/x
  3. Step 3: Cross multiply
    9,569.34x = 14,343.08 × 5,874.22
  4. Step 4: Simplify right side
    9,569.34x = 84,254,395.96
  5. Step 5: Solve for x
    x = 84,254,395.96/9,569.34
  6. Step 6: Final answer
    x = 8,804.62

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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.