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Finding the Fourth Proportional to 10,576.65, 14,566.25 and 10,347.02

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Solution

The fourth proportional to 10,576.65, 14,566.25 and 10,347.02 is: 14,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.65 : 14,566.25 = 10,347.02 : x
  2. Step 2: Convert to fraction form
    10,576.65/14,566.25 = 10,347.02/x
  3. Step 3: Cross multiply
    10,576.65x = 14,566.25 × 10,347.02
  4. Step 4: Simplify right side
    10,576.65x = 150,717,233.11
  5. Step 5: Solve for x
    x = 150,717,233.11/10,576.65
  6. Step 6: Final answer
    x = 14,250.00

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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.