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Finding the Fourth Proportional to 10,814.67, 14,924.16 and 5,846.67

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Solution

The fourth proportional to 10,814.67, 14,924.16 and 5,846.67 is: 8,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.67 : 14,924.16 = 5,846.67 : x
  2. Step 2: Convert to fraction form
    10,814.67/14,924.16 = 5,846.67/x
  3. Step 3: Cross multiply
    10,814.67x = 14,924.16 × 5,846.67
  4. Step 4: Simplify right side
    10,814.67x = 87,256,638.55
  5. Step 5: Solve for x
    x = 87,256,638.55/10,814.67
  6. Step 6: Final answer
    x = 8,068.36

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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.