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Finding the Fourth Proportional to 7,034.70, 9,707.14 and 4,382.40

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Solution

The fourth proportional to 7,034.70, 9,707.14 and 4,382.40 is: 6,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.70 : 9,707.14 = 4,382.40 : x
  2. Step 2: Convert to fraction form
    7,034.70/9,707.14 = 4,382.40/x
  3. Step 3: Cross multiply
    7,034.70x = 9,707.14 × 4,382.40
  4. Step 4: Simplify right side
    7,034.70x = 42,540,570.34
  5. Step 5: Solve for x
    x = 42,540,570.34/7,034.70
  6. Step 6: Final answer
    x = 6,047.25

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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.