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Finding the Fourth Proportional to 9,466.40, 13,077.24 and 9,077.60

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Solution

The fourth proportional to 9,466.40, 13,077.24 and 9,077.60 is: 12,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.40 : 13,077.24 = 9,077.60 : x
  2. Step 2: Convert to fraction form
    9,466.40/13,077.24 = 9,077.60/x
  3. Step 3: Cross multiply
    9,466.40x = 13,077.24 × 9,077.60
  4. Step 4: Simplify right side
    9,466.40x = 118,709,953.82
  5. Step 5: Solve for x
    x = 118,709,953.82/9,466.40
  6. Step 6: Final answer
    x = 12,540.14

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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.