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Finding the Fourth Proportional to 8,497.55, 11,726.88 and 5,140.98

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Solution

The fourth proportional to 8,497.55, 11,726.88 and 5,140.98 is: 7,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.55 : 11,726.88 = 5,140.98 : x
  2. Step 2: Convert to fraction form
    8,497.55/11,726.88 = 5,140.98/x
  3. Step 3: Cross multiply
    8,497.55x = 11,726.88 × 5,140.98
  4. Step 4: Simplify right side
    8,497.55x = 60,287,636.26
  5. Step 5: Solve for x
    x = 60,287,636.26/8,497.55
  6. Step 6: Final answer
    x = 7,094.71

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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.