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Finding the Fourth Proportional to 9,357.12, 14,024.16 and 4,737.60

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Solution

The fourth proportional to 9,357.12, 14,024.16 and 4,737.60 is: 7,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.12 : 14,024.16 = 4,737.60 : x
  2. Step 2: Convert to fraction form
    9,357.12/14,024.16 = 4,737.60/x
  3. Step 3: Cross multiply
    9,357.12x = 14,024.16 × 4,737.60
  4. Step 4: Simplify right side
    9,357.12x = 66,440,860.42
  5. Step 5: Solve for x
    x = 66,440,860.42/9,357.12
  6. Step 6: Final answer
    x = 7,100.57

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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.