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Finding the Fourth Proportional to 9,548.53, 14,302.06 and 5,839.51

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Solution

The fourth proportional to 9,548.53, 14,302.06 and 5,839.51 is: 8,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.53 : 14,302.06 = 5,839.51 : x
  2. Step 2: Convert to fraction form
    9,548.53/14,302.06 = 5,839.51/x
  3. Step 3: Cross multiply
    9,548.53x = 14,302.06 × 5,839.51
  4. Step 4: Simplify right side
    9,548.53x = 83,516,993.19
  5. Step 5: Solve for x
    x = 83,516,993.19/9,548.53
  6. Step 6: Final answer
    x = 8,746.59

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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.