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Finding the Fourth Proportional to 7,352.96, 11,048.64 and 6,886.40

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Solution

The fourth proportional to 7,352.96, 11,048.64 and 6,886.40 is: 10,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.96 : 11,048.64 = 6,886.40 : x
  2. Step 2: Convert to fraction form
    7,352.96/11,048.64 = 6,886.40/x
  3. Step 3: Cross multiply
    7,352.96x = 11,048.64 × 6,886.40
  4. Step 4: Simplify right side
    7,352.96x = 76,085,354.50
  5. Step 5: Solve for x
    x = 76,085,354.50/7,352.96
  6. Step 6: Final answer
    x = 10,347.58

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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.