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Finding the Fourth Proportional to 9,937.99, 13,714.01 and 5,461.48

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Solution

The fourth proportional to 9,937.99, 13,714.01 and 5,461.48 is: 7,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.99 : 13,714.01 = 5,461.48 : x
  2. Step 2: Convert to fraction form
    9,937.99/13,714.01 = 5,461.48/x
  3. Step 3: Cross multiply
    9,937.99x = 13,714.01 × 5,461.48
  4. Step 4: Simplify right side
    9,937.99x = 74,898,724.51
  5. Step 5: Solve for x
    x = 74,898,724.51/9,937.99
  6. Step 6: Final answer
    x = 7,536.61

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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.