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Finding the Fourth Proportional to 11,652.48, 17,478.64 and 6,973.80

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Solution

The fourth proportional to 11,652.48, 17,478.64 and 6,973.80 is: 10,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.48 : 17,478.64 = 6,973.80 : x
  2. Step 2: Convert to fraction form
    11,652.48/17,478.64 = 6,973.80/x
  3. Step 3: Cross multiply
    11,652.48x = 17,478.64 × 6,973.80
  4. Step 4: Simplify right side
    11,652.48x = 121,892,539.63
  5. Step 5: Solve for x
    x = 121,892,539.63/11,652.48
  6. Step 6: Final answer
    x = 10,460.65

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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.