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Finding the Fourth Proportional to 9,547.11, 13,171.41 and 7,035.21

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Solution

The fourth proportional to 9,547.11, 13,171.41 and 7,035.21 is: 9,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.11 : 13,171.41 = 7,035.21 : x
  2. Step 2: Convert to fraction form
    9,547.11/13,171.41 = 7,035.21/x
  3. Step 3: Cross multiply
    9,547.11x = 13,171.41 × 7,035.21
  4. Step 4: Simplify right side
    9,547.11x = 92,663,635.35
  5. Step 5: Solve for x
    x = 92,663,635.35/9,547.11
  6. Step 6: Final answer
    x = 9,705.94

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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.