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Finding the Fourth Proportional to 9,576.63, 14,369.72 and 4,315.32

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Solution

The fourth proportional to 9,576.63, 14,369.72 and 4,315.32 is: 6,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.63 : 14,369.72 = 4,315.32 : x
  2. Step 2: Convert to fraction form
    9,576.63/14,369.72 = 4,315.32/x
  3. Step 3: Cross multiply
    9,576.63x = 14,369.72 × 4,315.32
  4. Step 4: Simplify right side
    9,576.63x = 62,009,918.53
  5. Step 5: Solve for x
    x = 62,009,918.53/9,576.63
  6. Step 6: Final answer
    x = 6,475.13

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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.