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Finding the Fourth Proportional to 11,693.77, 16,140.35 and 7,509.31

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Solution

The fourth proportional to 11,693.77, 16,140.35 and 7,509.31 is: 10,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.77 : 16,140.35 = 7,509.31 : x
  2. Step 2: Convert to fraction form
    11,693.77/16,140.35 = 7,509.31/x
  3. Step 3: Cross multiply
    11,693.77x = 16,140.35 × 7,509.31
  4. Step 4: Simplify right side
    11,693.77x = 121,202,854.11
  5. Step 5: Solve for x
    x = 121,202,854.11/11,693.77
  6. Step 6: Final answer
    x = 10,364.74

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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.