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Finding the Fourth Proportional to 9,779.54, 13,501.96 and 7,537.25

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Solution

The fourth proportional to 9,779.54, 13,501.96 and 7,537.25 is: 10,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.54 : 13,501.96 = 7,537.25 : x
  2. Step 2: Convert to fraction form
    9,779.54/13,501.96 = 7,537.25/x
  3. Step 3: Cross multiply
    9,779.54x = 13,501.96 × 7,537.25
  4. Step 4: Simplify right side
    9,779.54x = 101,767,662.92
  5. Step 5: Solve for x
    x = 101,767,662.92/9,779.54
  6. Step 6: Final answer
    x = 10,406.19

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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.