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Finding the Fourth Proportional to 37,668.16, 56,497.44 and 9,968.32

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Solution

The fourth proportional to 37,668.16, 56,497.44 and 9,968.32 is: 14,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668.16 : 56,497.44 = 9,968.32 : x
  2. Step 2: Convert to fraction form
    37,668.16/56,497.44 = 9,968.32/x
  3. Step 3: Cross multiply
    37,668.16x = 56,497.44 × 9,968.32
  4. Step 4: Simplify right side
    37,668.16x = 563,184,561.10
  5. Step 5: Solve for x
    x = 563,184,561.10/37,668.16
  6. Step 6: Final answer
    x = 14,951.21

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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.