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Finding the Fourth Proportional to 7,061.68, 9,745.52 and 3,918.16

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Solution

The fourth proportional to 7,061.68, 9,745.52 and 3,918.16 is: 5,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.68 : 9,745.52 = 3,918.16 : x
  2. Step 2: Convert to fraction form
    7,061.68/9,745.52 = 3,918.16/x
  3. Step 3: Cross multiply
    7,061.68x = 9,745.52 × 3,918.16
  4. Step 4: Simplify right side
    7,061.68x = 38,184,506.64
  5. Step 5: Solve for x
    x = 38,184,506.64/7,061.68
  6. Step 6: Final answer
    x = 5,407.28

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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.