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Finding the Fourth Proportional to 16,598.06, 22,905.27 and 9,146.06

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Solution

The fourth proportional to 16,598.06, 22,905.27 and 9,146.06 is: 12,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.06 : 22,905.27 = 9,146.06 : x
  2. Step 2: Convert to fraction form
    16,598.06/22,905.27 = 9,146.06/x
  3. Step 3: Cross multiply
    16,598.06x = 22,905.27 × 9,146.06
  4. Step 4: Simplify right side
    16,598.06x = 209,492,973.74
  5. Step 5: Solve for x
    x = 209,492,973.74/16,598.06
  6. Step 6: Final answer
    x = 12,621.53

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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.