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Finding the Fourth Proportional to 7,103.34, 9,798.24 and 4,713.42

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Solution

The fourth proportional to 7,103.34, 9,798.24 and 4,713.42 is: 6,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.34 : 9,798.24 = 4,713.42 : x
  2. Step 2: Convert to fraction form
    7,103.34/9,798.24 = 4,713.42/x
  3. Step 3: Cross multiply
    7,103.34x = 9,798.24 × 4,713.42
  4. Step 4: Simplify right side
    7,103.34x = 46,183,220.38
  5. Step 5: Solve for x
    x = 46,183,220.38/7,103.34
  6. Step 6: Final answer
    x = 6,501.62

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Half scale
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Double scale
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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.