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Finding the Fourth Proportional to 10,457.88, 14,417.91 and 8,959.38

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Solution

The fourth proportional to 10,457.88, 14,417.91 and 8,959.38 is: 12,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.88 : 14,417.91 = 8,959.38 : x
  2. Step 2: Convert to fraction form
    10,457.88/14,417.91 = 8,959.38/x
  3. Step 3: Cross multiply
    10,457.88x = 14,417.91 × 8,959.38
  4. Step 4: Simplify right side
    10,457.88x = 129,175,534.50
  5. Step 5: Solve for x
    x = 129,175,534.50/10,457.88
  6. Step 6: Final answer
    x = 12,351.98

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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.