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Finding the Fourth Proportional to 5,445, 8,166.56 and 1,548.63

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Solution

The fourth proportional to 5,445, 8,166.56 and 1,548.63 is: 2,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445 : 8,166.56 = 1,548.63 : x
  2. Step 2: Convert to fraction form
    5,445/8,166.56 = 1,548.63/x
  3. Step 3: Cross multiply
    5,445x = 8,166.56 × 1,548.63
  4. Step 4: Simplify right side
    5,445x = 12,646,972.07
  5. Step 5: Solve for x
    x = 12,646,972.07/5,445
  6. Step 6: Final answer
    x = 2,322.68

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Half scale
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Double scale
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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.