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Finding the Fourth Proportional to 7,009.96, 9,674.76 and 6,417.04

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Solution

The fourth proportional to 7,009.96, 9,674.76 and 6,417.04 is: 8,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.96 : 9,674.76 = 6,417.04 : x
  2. Step 2: Convert to fraction form
    7,009.96/9,674.76 = 6,417.04/x
  3. Step 3: Cross multiply
    7,009.96x = 9,674.76 × 6,417.04
  4. Step 4: Simplify right side
    7,009.96x = 62,083,321.91
  5. Step 5: Solve for x
    x = 62,083,321.91/7,009.96
  6. Step 6: Final answer
    x = 8,856.44

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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.