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Finding the Fourth Proportional to 7,009.70, 10,513.04 and 2,848.64

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Solution

The fourth proportional to 7,009.70, 10,513.04 and 2,848.64 is: 4,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.70 : 10,513.04 = 2,848.64 : x
  2. Step 2: Convert to fraction form
    7,009.70/10,513.04 = 2,848.64/x
  3. Step 3: Cross multiply
    7,009.70x = 10,513.04 × 2,848.64
  4. Step 4: Simplify right side
    7,009.70x = 29,947,866.27
  5. Step 5: Solve for x
    x = 29,947,866.27/7,009.70
  6. Step 6: Final answer
    x = 4,272.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.