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Finding the Fourth Proportional to 9,000.30, 12,420.41 and 4,967.38

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Solution

The fourth proportional to 9,000.30, 12,420.41 and 4,967.38 is: 6,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.30 : 12,420.41 = 4,967.38 : x
  2. Step 2: Convert to fraction form
    9,000.30/12,420.41 = 4,967.38/x
  3. Step 3: Cross multiply
    9,000.30x = 12,420.41 × 4,967.38
  4. Step 4: Simplify right side
    9,000.30x = 61,696,858.96
  5. Step 5: Solve for x
    x = 61,696,858.96/9,000.30
  6. Step 6: Final answer
    x = 6,854.98

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Half scale
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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.