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Finding the Fourth Proportional to 12,509.19, 17,262.06 and 6,844.05

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Solution

The fourth proportional to 12,509.19, 17,262.06 and 6,844.05 is: 9,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.19 : 17,262.06 = 6,844.05 : x
  2. Step 2: Convert to fraction form
    12,509.19/17,262.06 = 6,844.05/x
  3. Step 3: Cross multiply
    12,509.19x = 17,262.06 × 6,844.05
  4. Step 4: Simplify right side
    12,509.19x = 118,142,401.74
  5. Step 5: Solve for x
    x = 118,142,401.74/12,509.19
  6. Step 6: Final answer
    x = 9,444.45

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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.