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Finding the Fourth Proportional to 8,463.51, 12,703.47 and 4,084.05

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Solution

The fourth proportional to 8,463.51, 12,703.47 and 4,084.05 is: 6,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.51 : 12,703.47 = 4,084.05 : x
  2. Step 2: Convert to fraction form
    8,463.51/12,703.47 = 4,084.05/x
  3. Step 3: Cross multiply
    8,463.51x = 12,703.47 × 4,084.05
  4. Step 4: Simplify right side
    8,463.51x = 51,881,606.65
  5. Step 5: Solve for x
    x = 51,881,606.65/8,463.51
  6. Step 6: Final answer
    x = 6,130.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.