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Finding the Fourth Proportional to 11,462.63, 15,819 and 6,985.67

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Solution

The fourth proportional to 11,462.63, 15,819 and 6,985.67 is: 9,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.63 : 15,819 = 6,985.67 : x
  2. Step 2: Convert to fraction form
    11,462.63/15,819 = 6,985.67/x
  3. Step 3: Cross multiply
    11,462.63x = 15,819 × 6,985.67
  4. Step 4: Simplify right side
    11,462.63x = 110,506,313.73
  5. Step 5: Solve for x
    x = 110,506,313.73/11,462.63
  6. Step 6: Final answer
    x = 9,640.57

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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.