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Finding the Fourth Proportional to 9,309, 12,846.54 and 5,117.16

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Solution

The fourth proportional to 9,309, 12,846.54 and 5,117.16 is: 7,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309 : 12,846.54 = 5,117.16 : x
  2. Step 2: Convert to fraction form
    9,309/12,846.54 = 5,117.16/x
  3. Step 3: Cross multiply
    9,309x = 12,846.54 × 5,117.16
  4. Step 4: Simplify right side
    9,309x = 65,737,800.63
  5. Step 5: Solve for x
    x = 65,737,800.63/9,309
  6. Step 6: Final answer
    x = 7,061.75

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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.