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Finding the Fourth Proportional to 14,497.84, 21,725.43 and 6,482.89

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Solution

The fourth proportional to 14,497.84, 21,725.43 and 6,482.89 is: 9,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.84 : 21,725.43 = 6,482.89 : x
  2. Step 2: Convert to fraction form
    14,497.84/21,725.43 = 6,482.89/x
  3. Step 3: Cross multiply
    14,497.84x = 21,725.43 × 6,482.89
  4. Step 4: Simplify right side
    14,497.84x = 140,843,572.89
  5. Step 5: Solve for x
    x = 140,843,572.89/14,497.84
  6. Step 6: Final answer
    x = 9,714.80

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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.