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Finding the Fourth Proportional to 13,897.80, 20,846.70 and 6,875.10

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Solution

The fourth proportional to 13,897.80, 20,846.70 and 6,875.10 is: 10,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.80 : 20,846.70 = 6,875.10 : x
  2. Step 2: Convert to fraction form
    13,897.80/20,846.70 = 6,875.10/x
  3. Step 3: Cross multiply
    13,897.80x = 20,846.70 × 6,875.10
  4. Step 4: Simplify right side
    13,897.80x = 143,323,147.17
  5. Step 5: Solve for x
    x = 143,323,147.17/13,897.80
  6. Step 6: Final answer
    x = 10,312.65

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Similar ratio
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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.