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Finding the Fourth Proportional to 11,497.60, 16,077.20 and 11,497.60

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Solution

The fourth proportional to 11,497.60, 16,077.20 and 11,497.60 is: 16,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.60 : 16,077.20 = 11,497.60 : x
  2. Step 2: Convert to fraction form
    11,497.60/16,077.20 = 11,497.60/x
  3. Step 3: Cross multiply
    11,497.60x = 16,077.20 × 11,497.60
  4. Step 4: Simplify right side
    11,497.60x = 184,849,214.72
  5. Step 5: Solve for x
    x = 184,849,214.72/11,497.60
  6. Step 6: Final answer
    x = 16,077.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.