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Finding the Fourth Proportional to 7,454.84, 10,280.86 and 6,666.59

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Solution

The fourth proportional to 7,454.84, 10,280.86 and 6,666.59 is: 9,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.84 : 10,280.86 = 6,666.59 : x
  2. Step 2: Convert to fraction form
    7,454.84/10,280.86 = 6,666.59/x
  3. Step 3: Cross multiply
    7,454.84x = 10,280.86 × 6,666.59
  4. Step 4: Simplify right side
    7,454.84x = 68,538,287.50
  5. Step 5: Solve for x
    x = 68,538,287.50/7,454.84
  6. Step 6: Final answer
    x = 9,193.80

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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.