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Finding the Fourth Proportional to 12,652.37, 17,460.17 and 6,987.12

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Solution

The fourth proportional to 12,652.37, 17,460.17 and 6,987.12 is: 9,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.37 : 17,460.17 = 6,987.12 : x
  2. Step 2: Convert to fraction form
    12,652.37/17,460.17 = 6,987.12/x
  3. Step 3: Cross multiply
    12,652.37x = 17,460.17 × 6,987.12
  4. Step 4: Simplify right side
    12,652.37x = 121,996,303.01
  5. Step 5: Solve for x
    x = 121,996,303.01/12,652.37
  6. Step 6: Final answer
    x = 9,642.17

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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.