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Finding the Fourth Proportional to 9,000.40, 13,484.40 and 8,458.24

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Solution

The fourth proportional to 9,000.40, 13,484.40 and 8,458.24 is: 12,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.40 : 13,484.40 = 8,458.24 : x
  2. Step 2: Convert to fraction form
    9,000.40/13,484.40 = 8,458.24/x
  3. Step 3: Cross multiply
    9,000.40x = 13,484.40 × 8,458.24
  4. Step 4: Simplify right side
    9,000.40x = 114,054,291.46
  5. Step 5: Solve for x
    x = 114,054,291.46/9,000.40
  6. Step 6: Final answer
    x = 12,672.14

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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.