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Finding the Fourth Proportional to 9,254.54, 13,885.06 and 5,787.74

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Solution

The fourth proportional to 9,254.54, 13,885.06 and 5,787.74 is: 8,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.54 : 13,885.06 = 5,787.74 : x
  2. Step 2: Convert to fraction form
    9,254.54/13,885.06 = 5,787.74/x
  3. Step 3: Cross multiply
    9,254.54x = 13,885.06 × 5,787.74
  4. Step 4: Simplify right side
    9,254.54x = 80,363,117.16
  5. Step 5: Solve for x
    x = 80,363,117.16/9,254.54
  6. Step 6: Final answer
    x = 8,683.64

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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.