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Finding the Fourth Proportional to 16,627.51, 22,946.22 and 9,457.23

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Solution

The fourth proportional to 16,627.51, 22,946.22 and 9,457.23 is: 13,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.51 : 22,946.22 = 9,457.23 : x
  2. Step 2: Convert to fraction form
    16,627.51/22,946.22 = 9,457.23/x
  3. Step 3: Cross multiply
    16,627.51x = 22,946.22 × 9,457.23
  4. Step 4: Simplify right side
    16,627.51x = 217,007,680.17
  5. Step 5: Solve for x
    x = 217,007,680.17/16,627.51
  6. Step 6: Final answer
    x = 13,051.12

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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.