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Finding the Fourth Proportional to 9,658.16, 14,490.30 and 4,728.32

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Solution

The fourth proportional to 9,658.16, 14,490.30 and 4,728.32 is: 7,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.16 : 14,490.30 = 4,728.32 : x
  2. Step 2: Convert to fraction form
    9,658.16/14,490.30 = 4,728.32/x
  3. Step 3: Cross multiply
    9,658.16x = 14,490.30 × 4,728.32
  4. Step 4: Simplify right side
    9,658.16x = 68,514,775.30
  5. Step 5: Solve for x
    x = 68,514,775.30/9,658.16
  6. Step 6: Final answer
    x = 7,093.98

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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.