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Finding the Fourth Proportional to 12,681.40, 17,464.30 and 12,410.04

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Solution

The fourth proportional to 12,681.40, 17,464.30 and 12,410.04 is: 17,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.40 : 17,464.30 = 12,410.04 : x
  2. Step 2: Convert to fraction form
    12,681.40/17,464.30 = 12,410.04/x
  3. Step 3: Cross multiply
    12,681.40x = 17,464.30 × 12,410.04
  4. Step 4: Simplify right side
    12,681.40x = 216,732,661.57
  5. Step 5: Solve for x
    x = 216,732,661.57/12,681.40
  6. Step 6: Final answer
    x = 17,090.59

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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.