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Finding the Fourth Proportional to 9,466.64, 13,058.48 and 6,815.28

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Solution

The fourth proportional to 9,466.64, 13,058.48 and 6,815.28 is: 9,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.64 : 13,058.48 = 6,815.28 : x
  2. Step 2: Convert to fraction form
    9,466.64/13,058.48 = 6,815.28/x
  3. Step 3: Cross multiply
    9,466.64x = 13,058.48 × 6,815.28
  4. Step 4: Simplify right side
    9,466.64x = 88,997,197.57
  5. Step 5: Solve for x
    x = 88,997,197.57/9,466.64
  6. Step 6: Final answer
    x = 9,401.14

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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.