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Finding the Fourth Proportional to 35,807.49, 53,707.07 and 9,514.28

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Solution

The fourth proportional to 35,807.49, 53,707.07 and 9,514.28 is: 14,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.49 : 53,707.07 = 9,514.28 : x
  2. Step 2: Convert to fraction form
    35,807.49/53,707.07 = 9,514.28/x
  3. Step 3: Cross multiply
    35,807.49x = 53,707.07 × 9,514.28
  4. Step 4: Simplify right side
    35,807.49x = 510,983,785.85
  5. Step 5: Solve for x
    x = 510,983,785.85/35,807.49
  6. Step 6: Final answer
    x = 14,270.30

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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.