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Finding the Fourth Proportional to 7,533.16, 10,396.99 and 7,200.96

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Solution

The fourth proportional to 7,533.16, 10,396.99 and 7,200.96 is: 9,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.16 : 10,396.99 = 7,200.96 : x
  2. Step 2: Convert to fraction form
    7,533.16/10,396.99 = 7,200.96/x
  3. Step 3: Cross multiply
    7,533.16x = 10,396.99 × 7,200.96
  4. Step 4: Simplify right side
    7,533.16x = 74,868,291.11
  5. Step 5: Solve for x
    x = 74,868,291.11/7,533.16
  6. Step 6: Final answer
    x = 9,938.50

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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.