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Finding the Fourth Proportional to 10,493.52, 14,482.08 and 7,836.32

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Solution

The fourth proportional to 10,493.52, 14,482.08 and 7,836.32 is: 10,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.52 : 14,482.08 = 7,836.32 : x
  2. Step 2: Convert to fraction form
    10,493.52/14,482.08 = 7,836.32/x
  3. Step 3: Cross multiply
    10,493.52x = 14,482.08 × 7,836.32
  4. Step 4: Simplify right side
    10,493.52x = 113,486,200.11
  5. Step 5: Solve for x
    x = 113,486,200.11/10,493.52
  6. Step 6: Final answer
    x = 10,814.88

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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.