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Finding the Fourth Proportional to 10,522.84, 14,521.38 and 5,807

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Solution

The fourth proportional to 10,522.84, 14,521.38 and 5,807 is: 8,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.84 : 14,521.38 = 5,807 : x
  2. Step 2: Convert to fraction form
    10,522.84/14,521.38 = 5,807/x
  3. Step 3: Cross multiply
    10,522.84x = 14,521.38 × 5,807
  4. Step 4: Simplify right side
    10,522.84x = 84,325,653.66
  5. Step 5: Solve for x
    x = 84,325,653.66/10,522.84
  6. Step 6: Final answer
    x = 8,013.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.