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Finding the Fourth Proportional to 9,907.56, 13,672.36 and 5,431.50

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Solution

The fourth proportional to 9,907.56, 13,672.36 and 5,431.50 is: 7,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.56 : 13,672.36 = 5,431.50 : x
  2. Step 2: Convert to fraction form
    9,907.56/13,672.36 = 5,431.50/x
  3. Step 3: Cross multiply
    9,907.56x = 13,672.36 × 5,431.50
  4. Step 4: Simplify right side
    9,907.56x = 74,261,423.34
  5. Step 5: Solve for x
    x = 74,261,423.34/9,907.56
  6. Step 6: Final answer
    x = 7,495.43

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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.