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Finding the Fourth Proportional to 10,467.74, 14,445.12 and 5,751.74

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Solution

The fourth proportional to 10,467.74, 14,445.12 and 5,751.74 is: 7,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.74 : 14,445.12 = 5,751.74 : x
  2. Step 2: Convert to fraction form
    10,467.74/14,445.12 = 5,751.74/x
  3. Step 3: Cross multiply
    10,467.74x = 14,445.12 × 5,751.74
  4. Step 4: Simplify right side
    10,467.74x = 83,084,574.51
  5. Step 5: Solve for x
    x = 83,084,574.51/10,467.74
  6. Step 6: Final answer
    x = 7,937.20

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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.