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Finding the Fourth Proportional to 10,479.87, 14,461.93 and 5,764.16

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Solution

The fourth proportional to 10,479.87, 14,461.93 and 5,764.16 is: 7,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.87 : 14,461.93 = 5,764.16 : x
  2. Step 2: Convert to fraction form
    10,479.87/14,461.93 = 5,764.16/x
  3. Step 3: Cross multiply
    10,479.87x = 14,461.93 × 5,764.16
  4. Step 4: Simplify right side
    10,479.87x = 83,360,878.43
  5. Step 5: Solve for x
    x = 83,360,878.43/10,479.87
  6. Step 6: Final answer
    x = 7,954.38

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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.