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Finding the Fourth Proportional to 12,210.57, 16,851.42 and 6,905.40

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Solution

The fourth proportional to 12,210.57, 16,851.42 and 6,905.40 is: 9,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.57 : 16,851.42 = 6,905.40 : x
  2. Step 2: Convert to fraction form
    12,210.57/16,851.42 = 6,905.40/x
  3. Step 3: Cross multiply
    12,210.57x = 16,851.42 × 6,905.40
  4. Step 4: Simplify right side
    12,210.57x = 116,365,795.67
  5. Step 5: Solve for x
    x = 116,365,795.67/12,210.57
  6. Step 6: Final answer
    x = 9,529.92

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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.