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Finding the Fourth Proportional to 9,784.28, 13,492.14 and 7,546.52

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Solution

The fourth proportional to 9,784.28, 13,492.14 and 7,546.52 is: 10,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.28 : 13,492.14 = 7,546.52 : x
  2. Step 2: Convert to fraction form
    9,784.28/13,492.14 = 7,546.52/x
  3. Step 3: Cross multiply
    9,784.28x = 13,492.14 × 7,546.52
  4. Step 4: Simplify right side
    9,784.28x = 101,818,704.35
  5. Step 5: Solve for x
    x = 101,818,704.35/9,784.28
  6. Step 6: Final answer
    x = 10,406.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.