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Finding the Fourth Proportional to 13,038.84, 17,993.44 and 7,070.44

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Solution

The fourth proportional to 13,038.84, 17,993.44 and 7,070.44 is: 9,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.84 : 17,993.44 = 7,070.44 : x
  2. Step 2: Convert to fraction form
    13,038.84/17,993.44 = 7,070.44/x
  3. Step 3: Cross multiply
    13,038.84x = 17,993.44 × 7,070.44
  4. Step 4: Simplify right side
    13,038.84x = 127,221,537.91
  5. Step 5: Solve for x
    x = 127,221,537.91/13,038.84
  6. Step 6: Final answer
    x = 9,757.12

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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.