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Finding the Fourth Proportional to 17,602.48, 26,394.24 and 7,730.40

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Solution

The fourth proportional to 17,602.48, 26,394.24 and 7,730.40 is: 11,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.48 : 26,394.24 = 7,730.40 : x
  2. Step 2: Convert to fraction form
    17,602.48/26,394.24 = 7,730.40/x
  3. Step 3: Cross multiply
    17,602.48x = 26,394.24 × 7,730.40
  4. Step 4: Simplify right side
    17,602.48x = 204,038,032.90
  5. Step 5: Solve for x
    x = 204,038,032.90/17,602.48
  6. Step 6: Final answer
    x = 11,591.44

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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.