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Finding the Fourth Proportional to 12,835.04, 19,255.76 and 6,997.60

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Solution

The fourth proportional to 12,835.04, 19,255.76 and 6,997.60 is: 10,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.04 : 19,255.76 = 6,997.60 : x
  2. Step 2: Convert to fraction form
    12,835.04/19,255.76 = 6,997.60/x
  3. Step 3: Cross multiply
    12,835.04x = 19,255.76 × 6,997.60
  4. Step 4: Simplify right side
    12,835.04x = 134,744,106.18
  5. Step 5: Solve for x
    x = 134,744,106.18/12,835.04
  6. Step 6: Final answer
    x = 10,498.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.