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Finding the Fourth Proportional to 15,685.82, 23,522.45 and 6,914.50

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Solution

The fourth proportional to 15,685.82, 23,522.45 and 6,914.50 is: 10,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.82 : 23,522.45 = 6,914.50 : x
  2. Step 2: Convert to fraction form
    15,685.82/23,522.45 = 6,914.50/x
  3. Step 3: Cross multiply
    15,685.82x = 23,522.45 × 6,914.50
  4. Step 4: Simplify right side
    15,685.82x = 162,645,980.53
  5. Step 5: Solve for x
    x = 162,645,980.53/15,685.82
  6. Step 6: Final answer
    x = 10,368.98

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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.