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Finding the Fourth Proportional to 10,897.56, 16,353 and 7,210.44

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Solution

The fourth proportional to 10,897.56, 16,353 and 7,210.44 is: 10,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.56 : 16,353 = 7,210.44 : x
  2. Step 2: Convert to fraction form
    10,897.56/16,353 = 7,210.44/x
  3. Step 3: Cross multiply
    10,897.56x = 16,353 × 7,210.44
  4. Step 4: Simplify right side
    10,897.56x = 117,912,325.32
  5. Step 5: Solve for x
    x = 117,912,325.32/10,897.56
  6. Step 6: Final answer
    x = 10,820.07

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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.