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Finding the Fourth Proportional to 9,706.94, 14,548.25 and 4,153.79

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Solution

The fourth proportional to 9,706.94, 14,548.25 and 4,153.79 is: 6,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.94 : 14,548.25 = 4,153.79 : x
  2. Step 2: Convert to fraction form
    9,706.94/14,548.25 = 4,153.79/x
  3. Step 3: Cross multiply
    9,706.94x = 14,548.25 × 4,153.79
  4. Step 4: Simplify right side
    9,706.94x = 60,430,281.86
  5. Step 5: Solve for x
    x = 60,430,281.86/9,706.94
  6. Step 6: Final answer
    x = 6,225.48

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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.