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Finding the Fourth Proportional to 14,478.64, 21,702.97 and 6,586.63

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Solution

The fourth proportional to 14,478.64, 21,702.97 and 6,586.63 is: 9,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.64 : 21,702.97 = 6,586.63 : x
  2. Step 2: Convert to fraction form
    14,478.64/21,702.97 = 6,586.63/x
  3. Step 3: Cross multiply
    14,478.64x = 21,702.97 × 6,586.63
  4. Step 4: Simplify right side
    14,478.64x = 142,949,433.29
  5. Step 5: Solve for x
    x = 142,949,433.29/14,478.64
  6. Step 6: Final answer
    x = 9,873.13

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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.