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Finding the Fourth Proportional to 9,663.65, 14,497.29 and 3,088.07

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Solution

The fourth proportional to 9,663.65, 14,497.29 and 3,088.07 is: 4,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.65 : 14,497.29 = 3,088.07 : x
  2. Step 2: Convert to fraction form
    9,663.65/14,497.29 = 3,088.07/x
  3. Step 3: Cross multiply
    9,663.65x = 14,497.29 × 3,088.07
  4. Step 4: Simplify right side
    9,663.65x = 44,768,573.84
  5. Step 5: Solve for x
    x = 44,768,573.84/9,663.65
  6. Step 6: Final answer
    x = 4,632.68

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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.