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Finding the Fourth Proportional to 7,047.63, 9,725.72 and 4,253.13

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Solution

The fourth proportional to 7,047.63, 9,725.72 and 4,253.13 is: 5,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.63 : 9,725.72 = 4,253.13 : x
  2. Step 2: Convert to fraction form
    7,047.63/9,725.72 = 4,253.13/x
  3. Step 3: Cross multiply
    7,047.63x = 9,725.72 × 4,253.13
  4. Step 4: Simplify right side
    7,047.63x = 41,364,713.51
  5. Step 5: Solve for x
    x = 41,364,713.51/7,047.63
  6. Step 6: Final answer
    x = 5,869.31

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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.