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Finding the Fourth Proportional to 7,097.34, 9,799.26 and 4,746.30

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Solution

The fourth proportional to 7,097.34, 9,799.26 and 4,746.30 is: 6,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.34 : 9,799.26 = 4,746.30 : x
  2. Step 2: Convert to fraction form
    7,097.34/9,799.26 = 4,746.30/x
  3. Step 3: Cross multiply
    7,097.34x = 9,799.26 × 4,746.30
  4. Step 4: Simplify right side
    7,097.34x = 46,510,227.74
  5. Step 5: Solve for x
    x = 46,510,227.74/7,097.34
  6. Step 6: Final answer
    x = 6,553.19

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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.