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Finding the Fourth Proportional to 10,477.94, 15,707.32 and 9,564.86

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Solution

The fourth proportional to 10,477.94, 15,707.32 and 9,564.86 is: 14,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.94 : 15,707.32 = 9,564.86 : x
  2. Step 2: Convert to fraction form
    10,477.94/15,707.32 = 9,564.86/x
  3. Step 3: Cross multiply
    10,477.94x = 15,707.32 × 9,564.86
  4. Step 4: Simplify right side
    10,477.94x = 150,238,316.78
  5. Step 5: Solve for x
    x = 150,238,316.78/10,477.94
  6. Step 6: Final answer
    x = 14,338.54

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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.