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Finding the Fourth Proportional to 12,887.54, 17,784.42 and 7,582.66

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Solution

The fourth proportional to 12,887.54, 17,784.42 and 7,582.66 is: 10,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.54 : 17,784.42 = 7,582.66 : x
  2. Step 2: Convert to fraction form
    12,887.54/17,784.42 = 7,582.66/x
  3. Step 3: Cross multiply
    12,887.54x = 17,784.42 × 7,582.66
  4. Step 4: Simplify right side
    12,887.54x = 134,853,210.16
  5. Step 5: Solve for x
    x = 134,853,210.16/12,887.54
  6. Step 6: Final answer
    x = 10,463.84

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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.