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Finding the Fourth Proportional to 10,357.40, 15,536.10 and 9,847.10

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Solution

The fourth proportional to 10,357.40, 15,536.10 and 9,847.10 is: 14,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.40 : 15,536.10 = 9,847.10 : x
  2. Step 2: Convert to fraction form
    10,357.40/15,536.10 = 9,847.10/x
  3. Step 3: Cross multiply
    10,357.40x = 15,536.10 × 9,847.10
  4. Step 4: Simplify right side
    10,357.40x = 152,985,530.31
  5. Step 5: Solve for x
    x = 152,985,530.31/10,357.40
  6. Step 6: Final answer
    x = 14,770.65

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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.