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Finding the Fourth Proportional to 4,713.76, 6,506.72 and 4,047.94

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Solution

The fourth proportional to 4,713.76, 6,506.72 and 4,047.94 is: 5,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.76 : 6,506.72 = 4,047.94 : x
  2. Step 2: Convert to fraction form
    4,713.76/6,506.72 = 4,047.94/x
  3. Step 3: Cross multiply
    4,713.76x = 6,506.72 × 4,047.94
  4. Step 4: Simplify right side
    4,713.76x = 26,338,812.16
  5. Step 5: Solve for x
    x = 26,338,812.16/4,713.76
  6. Step 6: Final answer
    x = 5,587.64

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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.