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Finding the Fourth Proportional to 9,047.16, 13,558.82 and 4,888.22

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Solution

The fourth proportional to 9,047.16, 13,558.82 and 4,888.22 is: 7,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.16 : 13,558.82 = 4,888.22 : x
  2. Step 2: Convert to fraction form
    9,047.16/13,558.82 = 4,888.22/x
  3. Step 3: Cross multiply
    9,047.16x = 13,558.82 × 4,888.22
  4. Step 4: Simplify right side
    9,047.16x = 66,278,495.10
  5. Step 5: Solve for x
    x = 66,278,495.10/9,047.16
  6. Step 6: Final answer
    x = 7,325.89

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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.