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Finding the Fourth Proportional to 7,509.84, 10,364.22 and 4,153.02

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Solution

The fourth proportional to 7,509.84, 10,364.22 and 4,153.02 is: 5,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.84 : 10,364.22 = 4,153.02 : x
  2. Step 2: Convert to fraction form
    7,509.84/10,364.22 = 4,153.02/x
  3. Step 3: Cross multiply
    7,509.84x = 10,364.22 × 4,153.02
  4. Step 4: Simplify right side
    7,509.84x = 43,042,812.94
  5. Step 5: Solve for x
    x = 43,042,812.94/7,509.84
  6. Step 6: Final answer
    x = 5,731.52

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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.