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Finding the Fourth Proportional to 9,533.84, 14,281.08 and 7,071.44

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Solution

The fourth proportional to 9,533.84, 14,281.08 and 7,071.44 is: 10,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.84 : 14,281.08 = 7,071.44 : x
  2. Step 2: Convert to fraction form
    9,533.84/14,281.08 = 7,071.44/x
  3. Step 3: Cross multiply
    9,533.84x = 14,281.08 × 7,071.44
  4. Step 4: Simplify right side
    9,533.84x = 100,987,800.36
  5. Step 5: Solve for x
    x = 100,987,800.36/9,533.84
  6. Step 6: Final answer
    x = 10,592.56

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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.