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Finding the Fourth Proportional to 7,533.43, 11,291.18 and 5,678.43

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Solution

The fourth proportional to 7,533.43, 11,291.18 and 5,678.43 is: 8,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.43 : 11,291.18 = 5,678.43 : x
  2. Step 2: Convert to fraction form
    7,533.43/11,291.18 = 5,678.43/x
  3. Step 3: Cross multiply
    7,533.43x = 11,291.18 × 5,678.43
  4. Step 4: Simplify right side
    7,533.43x = 64,116,175.25
  5. Step 5: Solve for x
    x = 64,116,175.25/7,533.43
  6. Step 6: Final answer
    x = 8,510.89

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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.