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Finding the Fourth Proportional to 5,888.64, 8,832.94 and 1,506.09

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Solution

The fourth proportional to 5,888.64, 8,832.94 and 1,506.09 is: 2,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.64 : 8,832.94 = 1,506.09 : x
  2. Step 2: Convert to fraction form
    5,888.64/8,832.94 = 1,506.09/x
  3. Step 3: Cross multiply
    5,888.64x = 8,832.94 × 1,506.09
  4. Step 4: Simplify right side
    5,888.64x = 13,303,202.60
  5. Step 5: Solve for x
    x = 13,303,202.60/5,888.64
  6. Step 6: Final answer
    x = 2,259.13

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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.