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Finding the Fourth Proportional to 7,009.32, 9,664.26 and 5,678.12

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Solution

The fourth proportional to 7,009.32, 9,664.26 and 5,678.12 is: 7,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.32 : 9,664.26 = 5,678.12 : x
  2. Step 2: Convert to fraction form
    7,009.32/9,664.26 = 5,678.12/x
  3. Step 3: Cross multiply
    7,009.32x = 9,664.26 × 5,678.12
  4. Step 4: Simplify right side
    7,009.32x = 54,874,827.99
  5. Step 5: Solve for x
    x = 54,874,827.99/7,009.32
  6. Step 6: Final answer
    x = 7,828.84

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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.