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Finding the Fourth Proportional to 12,593.16, 18,897.06 and 6,971.40

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Solution

The fourth proportional to 12,593.16, 18,897.06 and 6,971.40 is: 10,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.16 : 18,897.06 = 6,971.40 : x
  2. Step 2: Convert to fraction form
    12,593.16/18,897.06 = 6,971.40/x
  3. Step 3: Cross multiply
    12,593.16x = 18,897.06 × 6,971.40
  4. Step 4: Simplify right side
    12,593.16x = 131,738,964.08
  5. Step 5: Solve for x
    x = 131,738,964.08/12,593.16
  6. Step 6: Final answer
    x = 10,461.15

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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.