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Finding the Fourth Proportional to 10,576.67, 14,599.59 and 7,217.08

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Solution

The fourth proportional to 10,576.67, 14,599.59 and 7,217.08 is: 9,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.67 : 14,599.59 = 7,217.08 : x
  2. Step 2: Convert to fraction form
    10,576.67/14,599.59 = 7,217.08/x
  3. Step 3: Cross multiply
    10,576.67x = 14,599.59 × 7,217.08
  4. Step 4: Simplify right side
    10,576.67x = 105,366,437.36
  5. Step 5: Solve for x
    x = 105,366,437.36/10,576.67
  6. Step 6: Final answer
    x = 9,962.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.