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Finding the Fourth Proportional to 7,047.58, 9,725.02 and 4,214.40

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Solution

The fourth proportional to 7,047.58, 9,725.02 and 4,214.40 is: 5,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.58 : 9,725.02 = 4,214.40 : x
  2. Step 2: Convert to fraction form
    7,047.58/9,725.02 = 4,214.40/x
  3. Step 3: Cross multiply
    7,047.58x = 9,725.02 × 4,214.40
  4. Step 4: Simplify right side
    7,047.58x = 40,985,124.29
  5. Step 5: Solve for x
    x = 40,985,124.29/7,047.58
  6. Step 6: Final answer
    x = 5,815.49

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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.