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Finding the Fourth Proportional to 7,607.32, 11,410.98 and 4,686.64

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Solution

The fourth proportional to 7,607.32, 11,410.98 and 4,686.64 is: 7,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.32 : 11,410.98 = 4,686.64 : x
  2. Step 2: Convert to fraction form
    7,607.32/11,410.98 = 4,686.64/x
  3. Step 3: Cross multiply
    7,607.32x = 11,410.98 × 4,686.64
  4. Step 4: Simplify right side
    7,607.32x = 53,479,155.31
  5. Step 5: Solve for x
    x = 53,479,155.31/7,607.32
  6. Step 6: Final answer
    x = 7,029.96

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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.