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Finding the Fourth Proportional to 7,114.69, 10,650.16 and 6,064.93

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Solution

The fourth proportional to 7,114.69, 10,650.16 and 6,064.93 is: 9,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.69 : 10,650.16 = 6,064.93 : x
  2. Step 2: Convert to fraction form
    7,114.69/10,650.16 = 6,064.93/x
  3. Step 3: Cross multiply
    7,114.69x = 10,650.16 × 6,064.93
  4. Step 4: Simplify right side
    7,114.69x = 64,592,474.89
  5. Step 5: Solve for x
    x = 64,592,474.89/7,114.69
  6. Step 6: Final answer
    x = 9,078.75

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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.