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Finding the Fourth Proportional to 9,887.94, 13,648.80 and 6,114

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Solution

The fourth proportional to 9,887.94, 13,648.80 and 6,114 is: 8,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.94 : 13,648.80 = 6,114 : x
  2. Step 2: Convert to fraction form
    9,887.94/13,648.80 = 6,114/x
  3. Step 3: Cross multiply
    9,887.94x = 13,648.80 × 6,114
  4. Step 4: Simplify right side
    9,887.94x = 83,448,763.20
  5. Step 5: Solve for x
    x = 83,448,763.20/9,887.94
  6. Step 6: Final answer
    x = 8,439.45

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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.