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Finding the Fourth Proportional to 9,552.33, 14,328.42 and 5,197.47

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Solution

The fourth proportional to 9,552.33, 14,328.42 and 5,197.47 is: 7,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.33 : 14,328.42 = 5,197.47 : x
  2. Step 2: Convert to fraction form
    9,552.33/14,328.42 = 5,197.47/x
  3. Step 3: Cross multiply
    9,552.33x = 14,328.42 × 5,197.47
  4. Step 4: Simplify right side
    9,552.33x = 74,471,533.10
  5. Step 5: Solve for x
    x = 74,471,533.10/9,552.33
  6. Step 6: Final answer
    x = 7,796.16

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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.