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Finding the Fourth Proportional to 10,448.66, 14,404.92 and 7,459.30

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Solution

The fourth proportional to 10,448.66, 14,404.92 and 7,459.30 is: 10,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.66 : 14,404.92 = 7,459.30 : x
  2. Step 2: Convert to fraction form
    10,448.66/14,404.92 = 7,459.30/x
  3. Step 3: Cross multiply
    10,448.66x = 14,404.92 × 7,459.30
  4. Step 4: Simplify right side
    10,448.66x = 107,450,609.79
  5. Step 5: Solve for x
    x = 107,450,609.79/10,448.66
  6. Step 6: Final answer
    x = 10,283.67

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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.