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Finding the Fourth Proportional to 9,155.72, 13,703.51 and 6,952.32

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Solution

The fourth proportional to 9,155.72, 13,703.51 and 6,952.32 is: 10,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.72 : 13,703.51 = 6,952.32 : x
  2. Step 2: Convert to fraction form
    9,155.72/13,703.51 = 6,952.32/x
  3. Step 3: Cross multiply
    9,155.72x = 13,703.51 × 6,952.32
  4. Step 4: Simplify right side
    9,155.72x = 95,271,204.02
  5. Step 5: Solve for x
    x = 95,271,204.02/9,155.72
  6. Step 6: Final answer
    x = 10,405.65

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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.