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Finding the Fourth Proportional to 7,292.42, 10,065 and 6,032.16

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Solution

The fourth proportional to 7,292.42, 10,065 and 6,032.16 is: 8,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.42 : 10,065 = 6,032.16 : x
  2. Step 2: Convert to fraction form
    7,292.42/10,065 = 6,032.16/x
  3. Step 3: Cross multiply
    7,292.42x = 10,065 × 6,032.16
  4. Step 4: Simplify right side
    7,292.42x = 60,713,690.40
  5. Step 5: Solve for x
    x = 60,713,690.40/7,292.42
  6. Step 6: Final answer
    x = 8,325.59

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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.