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Finding the Fourth Proportional to 9,720.26, 14,597.95 and 8,938.82

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Solution

The fourth proportional to 9,720.26, 14,597.95 and 8,938.82 is: 13,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.26 : 14,597.95 = 8,938.82 : x
  2. Step 2: Convert to fraction form
    9,720.26/14,597.95 = 8,938.82/x
  3. Step 3: Cross multiply
    9,720.26x = 14,597.95 × 8,938.82
  4. Step 4: Simplify right side
    9,720.26x = 130,488,352.08
  5. Step 5: Solve for x
    x = 130,488,352.08/9,720.26
  6. Step 6: Final answer
    x = 13,424.38

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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.