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Finding the Fourth Proportional to 10,000.53, 14,983.38 and 6,494.04

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Solution

The fourth proportional to 10,000.53, 14,983.38 and 6,494.04 is: 9,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.53 : 14,983.38 = 6,494.04 : x
  2. Step 2: Convert to fraction form
    10,000.53/14,983.38 = 6,494.04/x
  3. Step 3: Cross multiply
    10,000.53x = 14,983.38 × 6,494.04
  4. Step 4: Simplify right side
    10,000.53x = 97,302,669.06
  5. Step 5: Solve for x
    x = 97,302,669.06/10,000.53
  6. Step 6: Final answer
    x = 9,729.75

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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.