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Finding the Fourth Proportional to 7,094.46, 9,792.63 and 4,302.30

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Solution

The fourth proportional to 7,094.46, 9,792.63 and 4,302.30 is: 5,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.46 : 9,792.63 = 4,302.30 : x
  2. Step 2: Convert to fraction form
    7,094.46/9,792.63 = 4,302.30/x
  3. Step 3: Cross multiply
    7,094.46x = 9,792.63 × 4,302.30
  4. Step 4: Simplify right side
    7,094.46x = 42,130,832.05
  5. Step 5: Solve for x
    x = 42,130,832.05/7,094.46
  6. Step 6: Final answer
    x = 5,938.55

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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.