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Finding the Fourth Proportional to 9,714.63, 13,406.08 and 5,465.68

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Solution

The fourth proportional to 9,714.63, 13,406.08 and 5,465.68 is: 7,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.63 : 13,406.08 = 5,465.68 : x
  2. Step 2: Convert to fraction form
    9,714.63/13,406.08 = 5,465.68/x
  3. Step 3: Cross multiply
    9,714.63x = 13,406.08 × 5,465.68
  4. Step 4: Simplify right side
    9,714.63x = 73,273,321.78
  5. Step 5: Solve for x
    x = 73,273,321.78/9,714.63
  6. Step 6: Final answer
    x = 7,542.57

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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.