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Finding the Fourth Proportional to 11,855.16, 16,356.06 and 6,887.16

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Solution

The fourth proportional to 11,855.16, 16,356.06 and 6,887.16 is: 9,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.16 : 16,356.06 = 6,887.16 : x
  2. Step 2: Convert to fraction form
    11,855.16/16,356.06 = 6,887.16/x
  3. Step 3: Cross multiply
    11,855.16x = 16,356.06 × 6,887.16
  4. Step 4: Simplify right side
    11,855.16x = 112,646,802.19
  5. Step 5: Solve for x
    x = 112,646,802.19/11,855.16
  6. Step 6: Final answer
    x = 9,501.92

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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.