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Finding the Fourth Proportional to 12,697.54, 17,506.04 and 9,708.64

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Solution

The fourth proportional to 12,697.54, 17,506.04 and 9,708.64 is: 13,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.54 : 17,506.04 = 9,708.64 : x
  2. Step 2: Convert to fraction form
    12,697.54/17,506.04 = 9,708.64/x
  3. Step 3: Cross multiply
    12,697.54x = 17,506.04 × 9,708.64
  4. Step 4: Simplify right side
    12,697.54x = 169,959,840.19
  5. Step 5: Solve for x
    x = 169,959,840.19/12,697.54
  6. Step 6: Final answer
    x = 13,385.26

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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.