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Finding the Fourth Proportional to 12,464.70, 17,201.16 and 6,875.70

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Solution

The fourth proportional to 12,464.70, 17,201.16 and 6,875.70 is: 9,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.70 : 17,201.16 = 6,875.70 : x
  2. Step 2: Convert to fraction form
    12,464.70/17,201.16 = 6,875.70/x
  3. Step 3: Cross multiply
    12,464.70x = 17,201.16 × 6,875.70
  4. Step 4: Simplify right side
    12,464.70x = 118,270,015.81
  5. Step 5: Solve for x
    x = 118,270,015.81/12,464.70
  6. Step 6: Final answer
    x = 9,488.40

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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.