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Finding the Fourth Proportional to 13,065.42, 18,030.62 and 7,097.43

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Solution

The fourth proportional to 13,065.42, 18,030.62 and 7,097.43 is: 9,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.42 : 18,030.62 = 7,097.43 : x
  2. Step 2: Convert to fraction form
    13,065.42/18,030.62 = 7,097.43/x
  3. Step 3: Cross multiply
    13,065.42x = 18,030.62 × 7,097.43
  4. Step 4: Simplify right side
    13,065.42x = 127,971,027.82
  5. Step 5: Solve for x
    x = 127,971,027.82/13,065.42
  6. Step 6: Final answer
    x = 9,794.64

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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.