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Finding the Fourth Proportional to 9,471.72, 14,208.80 and 5,083.16

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Solution

The fourth proportional to 9,471.72, 14,208.80 and 5,083.16 is: 7,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.72 : 14,208.80 = 5,083.16 : x
  2. Step 2: Convert to fraction form
    9,471.72/14,208.80 = 5,083.16/x
  3. Step 3: Cross multiply
    9,471.72x = 14,208.80 × 5,083.16
  4. Step 4: Simplify right side
    9,471.72x = 72,225,603.81
  5. Step 5: Solve for x
    x = 72,225,603.81/9,471.72
  6. Step 6: Final answer
    x = 7,625.39

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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.