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Finding the Fourth Proportional to 9,648.54, 14,484.64 and 6,364.38

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Solution

The fourth proportional to 9,648.54, 14,484.64 and 6,364.38 is: 9,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.54 : 14,484.64 = 6,364.38 : x
  2. Step 2: Convert to fraction form
    9,648.54/14,484.64 = 6,364.38/x
  3. Step 3: Cross multiply
    9,648.54x = 14,484.64 × 6,364.38
  4. Step 4: Simplify right side
    9,648.54x = 92,185,753.12
  5. Step 5: Solve for x
    x = 92,185,753.12/9,648.54
  6. Step 6: Final answer
    x = 9,554.37

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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.