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Finding the Fourth Proportional to 13,059.42, 18,009.42 and 9,497.58

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Solution

The fourth proportional to 13,059.42, 18,009.42 and 9,497.58 is: 13,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.42 : 18,009.42 = 9,497.58 : x
  2. Step 2: Convert to fraction form
    13,059.42/18,009.42 = 9,497.58/x
  3. Step 3: Cross multiply
    13,059.42x = 18,009.42 × 9,497.58
  4. Step 4: Simplify right side
    13,059.42x = 171,045,907.20
  5. Step 5: Solve for x
    x = 171,045,907.20/13,059.42
  6. Step 6: Final answer
    x = 13,097.51

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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.