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Finding the Fourth Proportional to 11,466.00, 15,821.98 and 6,429.06

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Solution

The fourth proportional to 11,466.00, 15,821.98 and 6,429.06 is: 8,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.00 : 15,821.98 = 6,429.06 : x
  2. Step 2: Convert to fraction form
    11,466.00/15,821.98 = 6,429.06/x
  3. Step 3: Cross multiply
    11,466.00x = 15,821.98 × 6,429.06
  4. Step 4: Simplify right side
    11,466.00x = 101,720,498.29
  5. Step 5: Solve for x
    x = 101,720,498.29/11,466.00
  6. Step 6: Final answer
    x = 8,871.49

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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.