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Finding the Fourth Proportional to 10,056.65, 13,881.08 and 6,078.06

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Solution

The fourth proportional to 10,056.65, 13,881.08 and 6,078.06 is: 8,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.65 : 13,881.08 = 6,078.06 : x
  2. Step 2: Convert to fraction form
    10,056.65/13,881.08 = 6,078.06/x
  3. Step 3: Cross multiply
    10,056.65x = 13,881.08 × 6,078.06
  4. Step 4: Simplify right side
    10,056.65x = 84,370,052.30
  5. Step 5: Solve for x
    x = 84,370,052.30/10,056.65
  6. Step 6: Final answer
    x = 8,389.48

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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.