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Finding the Fourth Proportional to 8,142, 11,230.61 and 6,460.74

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Solution

The fourth proportional to 8,142, 11,230.61 and 6,460.74 is: 8,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,230.61 = 6,460.74 : x
  2. Step 2: Convert to fraction form
    8,142/11,230.61 = 6,460.74/x
  3. Step 3: Cross multiply
    8,142x = 11,230.61 × 6,460.74
  4. Step 4: Simplify right side
    8,142x = 72,558,051.25
  5. Step 5: Solve for x
    x = 72,558,051.25/8,142
  6. Step 6: Final answer
    x = 8,911.58

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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.