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Finding the Fourth Proportional to 9,534.66, 14,282.86 and 5,368.44

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Solution

The fourth proportional to 9,534.66, 14,282.86 and 5,368.44 is: 8,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.66 : 14,282.86 = 5,368.44 : x
  2. Step 2: Convert to fraction form
    9,534.66/14,282.86 = 5,368.44/x
  3. Step 3: Cross multiply
    9,534.66x = 14,282.86 × 5,368.44
  4. Step 4: Simplify right side
    9,534.66x = 76,676,676.94
  5. Step 5: Solve for x
    x = 76,676,676.94/9,534.66
  6. Step 6: Final answer
    x = 8,041.89

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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.