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Finding the Fourth Proportional to 9,447, 14,165.88 and 5,702.64

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Solution

The fourth proportional to 9,447, 14,165.88 and 5,702.64 is: 8,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447 : 14,165.88 = 5,702.64 : x
  2. Step 2: Convert to fraction form
    9,447/14,165.88 = 5,702.64/x
  3. Step 3: Cross multiply
    9,447x = 14,165.88 × 5,702.64
  4. Step 4: Simplify right side
    9,447x = 80,782,913.92
  5. Step 5: Solve for x
    x = 80,782,913.92/9,447
  6. Step 6: Final answer
    x = 8,551.17

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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.