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Finding the Fourth Proportional to 12,029, 16,600.02 and 7,312.40

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Solution

The fourth proportional to 12,029, 16,600.02 and 7,312.40 is: 10,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029 : 16,600.02 = 7,312.40 : x
  2. Step 2: Convert to fraction form
    12,029/16,600.02 = 7,312.40/x
  3. Step 3: Cross multiply
    12,029x = 16,600.02 × 7,312.40
  4. Step 4: Simplify right side
    12,029x = 121,385,986.25
  5. Step 5: Solve for x
    x = 121,385,986.25/12,029
  6. Step 6: Final answer
    x = 10,091.11

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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.