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Finding the Fourth Proportional to 7,097.12, 9,794.80 and 4,302.56

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Solution

The fourth proportional to 7,097.12, 9,794.80 and 4,302.56 is: 5,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.12 : 9,794.80 = 4,302.56 : x
  2. Step 2: Convert to fraction form
    7,097.12/9,794.80 = 4,302.56/x
  3. Step 3: Cross multiply
    7,097.12x = 9,794.80 × 4,302.56
  4. Step 4: Simplify right side
    7,097.12x = 42,142,714.69
  5. Step 5: Solve for x
    x = 42,142,714.69/7,097.12
  6. Step 6: Final answer
    x = 5,938.00

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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.