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Finding the Fourth Proportional to 13,466, 18,582.56 and 7,497.92

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Solution

The fourth proportional to 13,466, 18,582.56 and 7,497.92 is: 10,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466 : 18,582.56 = 7,497.92 : x
  2. Step 2: Convert to fraction form
    13,466/18,582.56 = 7,497.92/x
  3. Step 3: Cross multiply
    13,466x = 18,582.56 × 7,497.92
  4. Step 4: Simplify right side
    13,466x = 139,330,548.28
  5. Step 5: Solve for x
    x = 139,330,548.28/13,466
  6. Step 6: Final answer
    x = 10,346.84

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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.