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Finding the Fourth Proportional to 7,586.80, 10,468.51 and 5,064.86

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Solution

The fourth proportional to 7,586.80, 10,468.51 and 5,064.86 is: 6,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.80 : 10,468.51 = 5,064.86 : x
  2. Step 2: Convert to fraction form
    7,586.80/10,468.51 = 5,064.86/x
  3. Step 3: Cross multiply
    7,586.80x = 10,468.51 × 5,064.86
  4. Step 4: Simplify right side
    7,586.80x = 53,021,551.07
  5. Step 5: Solve for x
    x = 53,021,551.07/7,586.80
  6. Step 6: Final answer
    x = 6,988.66

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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.