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Finding the Fourth Proportional to 10,666.77, 16,000.77 and 3,271.30

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Solution

The fourth proportional to 10,666.77, 16,000.77 and 3,271.30 is: 4,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.77 : 16,000.77 = 3,271.30 : x
  2. Step 2: Convert to fraction form
    10,666.77/16,000.77 = 3,271.30/x
  3. Step 3: Cross multiply
    10,666.77x = 16,000.77 × 3,271.30
  4. Step 4: Simplify right side
    10,666.77x = 52,343,291.17
  5. Step 5: Solve for x
    x = 52,343,291.17/10,666.77
  6. Step 6: Final answer
    x = 4,907.14

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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.