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Finding the Fourth Proportional to 13,004.78, 17,946.54 and 7,036.45

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Solution

The fourth proportional to 13,004.78, 17,946.54 and 7,036.45 is: 9,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.78 : 17,946.54 = 7,036.45 : x
  2. Step 2: Convert to fraction form
    13,004.78/17,946.54 = 7,036.45/x
  3. Step 3: Cross multiply
    13,004.78x = 17,946.54 × 7,036.45
  4. Step 4: Simplify right side
    13,004.78x = 126,279,980.20
  5. Step 5: Solve for x
    x = 126,279,980.20/13,004.78
  6. Step 6: Final answer
    x = 9,710.28

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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.