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Finding the Fourth Proportional to 13,097.59, 19,646.59 and 7,291.11

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Solution

The fourth proportional to 13,097.59, 19,646.59 and 7,291.11 is: 10,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.59 : 19,646.59 = 7,291.11 : x
  2. Step 2: Convert to fraction form
    13,097.59/19,646.59 = 7,291.11/x
  3. Step 3: Cross multiply
    13,097.59x = 19,646.59 × 7,291.11
  4. Step 4: Simplify right side
    13,097.59x = 143,245,417.93
  5. Step 5: Solve for x
    x = 143,245,417.93/13,097.59
  6. Step 6: Final answer
    x = 10,936.77

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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.