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Finding the Fourth Proportional to 9,714.99, 13,399.74 and 9,569.19

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Solution

The fourth proportional to 9,714.99, 13,399.74 and 9,569.19 is: 13,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.99 : 13,399.74 = 9,569.19 : x
  2. Step 2: Convert to fraction form
    9,714.99/13,399.74 = 9,569.19/x
  3. Step 3: Cross multiply
    9,714.99x = 13,399.74 × 9,569.19
  4. Step 4: Simplify right side
    9,714.99x = 128,224,658.01
  5. Step 5: Solve for x
    x = 128,224,658.01/9,714.99
  6. Step 6: Final answer
    x = 13,198.64

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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.