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Finding the Fourth Proportional to 10,464.80, 15,697.19 and 6,561

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Solution

The fourth proportional to 10,464.80, 15,697.19 and 6,561 is: 9,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.80 : 15,697.19 = 6,561 : x
  2. Step 2: Convert to fraction form
    10,464.80/15,697.19 = 6,561/x
  3. Step 3: Cross multiply
    10,464.80x = 15,697.19 × 6,561
  4. Step 4: Simplify right side
    10,464.80x = 102,989,279.99
  5. Step 5: Solve for x
    x = 102,989,279.99/10,464.80
  6. Step 6: Final answer
    x = 9,841.50

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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.