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Finding the Fourth Proportional to 31,358.01, 47,037.06 and 7,665.51

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Solution

The fourth proportional to 31,358.01, 47,037.06 and 7,665.51 is: 11,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,358.01 : 47,037.06 = 7,665.51 : x
  2. Step 2: Convert to fraction form
    31,358.01/47,037.06 = 7,665.51/x
  3. Step 3: Cross multiply
    31,358.01x = 47,037.06 × 7,665.51
  4. Step 4: Simplify right side
    31,358.01x = 360,563,053.80
  5. Step 5: Solve for x
    x = 360,563,053.80/31,358.01
  6. Step 6: Final answer
    x = 11,498.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.