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Finding the Fourth Proportional to 9,137.03, 13,705.40 and 2,897.03

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Solution

The fourth proportional to 9,137.03, 13,705.40 and 2,897.03 is: 4,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.03 : 13,705.40 = 2,897.03 : x
  2. Step 2: Convert to fraction form
    9,137.03/13,705.40 = 2,897.03/x
  3. Step 3: Cross multiply
    9,137.03x = 13,705.40 × 2,897.03
  4. Step 4: Simplify right side
    9,137.03x = 39,704,996.47
  5. Step 5: Solve for x
    x = 39,704,996.47/9,137.03
  6. Step 6: Final answer
    x = 4,345.51

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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.