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Finding the Fourth Proportional to 11,746.69, 16,208.44 and 7,765.67

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Solution

The fourth proportional to 11,746.69, 16,208.44 and 7,765.67 is: 10,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.69 : 16,208.44 = 7,765.67 : x
  2. Step 2: Convert to fraction form
    11,746.69/16,208.44 = 7,765.67/x
  3. Step 3: Cross multiply
    11,746.69x = 16,208.44 × 7,765.67
  4. Step 4: Simplify right side
    11,746.69x = 125,869,417.36
  5. Step 5: Solve for x
    x = 125,869,417.36/11,746.69
  6. Step 6: Final answer
    x = 10,715.31

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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.