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Finding the Fourth Proportional to 12,417, 17,130.60 and 7,108.96

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Solution

The fourth proportional to 12,417, 17,130.60 and 7,108.96 is: 9,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417 : 17,130.60 = 7,108.96 : x
  2. Step 2: Convert to fraction form
    12,417/17,130.60 = 7,108.96/x
  3. Step 3: Cross multiply
    12,417x = 17,130.60 × 7,108.96
  4. Step 4: Simplify right side
    12,417x = 121,780,750.18
  5. Step 5: Solve for x
    x = 121,780,750.18/12,417
  6. Step 6: Final answer
    x = 9,807.58

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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.