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Finding the Fourth Proportional to 7,830.76, 11,669.88 and 7,593.44

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Solution

The fourth proportional to 7,830.76, 11,669.88 and 7,593.44 is: 11,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.76 : 11,669.88 = 7,593.44 : x
  2. Step 2: Convert to fraction form
    7,830.76/11,669.88 = 7,593.44/x
  3. Step 3: Cross multiply
    7,830.76x = 11,669.88 × 7,593.44
  4. Step 4: Simplify right side
    7,830.76x = 88,614,533.59
  5. Step 5: Solve for x
    x = 88,614,533.59/7,830.76
  6. Step 6: Final answer
    x = 11,316.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.