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Finding the Fourth Proportional to 7,009.70, 9,675.37 and 4,914.34

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Solution

The fourth proportional to 7,009.70, 9,675.37 and 4,914.34 is: 6,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.70 : 9,675.37 = 4,914.34 : x
  2. Step 2: Convert to fraction form
    7,009.70/9,675.37 = 4,914.34/x
  3. Step 3: Cross multiply
    7,009.70x = 9,675.37 × 4,914.34
  4. Step 4: Simplify right side
    7,009.70x = 47,548,057.81
  5. Step 5: Solve for x
    x = 47,548,057.81/7,009.70
  6. Step 6: Final answer
    x = 6,783.18

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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.