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Finding the Fourth Proportional to 11,993.77, 16,547.04 and 6,955.21

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Solution

The fourth proportional to 11,993.77, 16,547.04 and 6,955.21 is: 9,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.77 : 16,547.04 = 6,955.21 : x
  2. Step 2: Convert to fraction form
    11,993.77/16,547.04 = 6,955.21/x
  3. Step 3: Cross multiply
    11,993.77x = 16,547.04 × 6,955.21
  4. Step 4: Simplify right side
    11,993.77x = 115,088,055.34
  5. Step 5: Solve for x
    x = 115,088,055.34/11,993.77
  6. Step 6: Final answer
    x = 9,595.66

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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.