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Finding the Fourth Proportional to 9,641.76, 14,466.76 and 3,068.48

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Solution

The fourth proportional to 9,641.76, 14,466.76 and 3,068.48 is: 4,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.76 : 14,466.76 = 3,068.48 : x
  2. Step 2: Convert to fraction form
    9,641.76/14,466.76 = 3,068.48/x
  3. Step 3: Cross multiply
    9,641.76x = 14,466.76 × 3,068.48
  4. Step 4: Simplify right side
    9,641.76x = 44,390,963.72
  5. Step 5: Solve for x
    x = 44,390,963.72/9,641.76
  6. Step 6: Final answer
    x = 4,604.03

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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.