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Finding the Fourth Proportional to 9,673.32, 14,510.64 and 4,126.65

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Solution

The fourth proportional to 9,673.32, 14,510.64 and 4,126.65 is: 6,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.32 : 14,510.64 = 4,126.65 : x
  2. Step 2: Convert to fraction form
    9,673.32/14,510.64 = 4,126.65/x
  3. Step 3: Cross multiply
    9,673.32x = 14,510.64 × 4,126.65
  4. Step 4: Simplify right side
    9,673.32x = 59,880,293.62
  5. Step 5: Solve for x
    x = 59,880,293.62/9,673.32
  6. Step 6: Final answer
    x = 6,190.25

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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.