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Finding the Fourth Proportional to 7,030.27, 9,702.08 and 4,046.12

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Solution

The fourth proportional to 7,030.27, 9,702.08 and 4,046.12 is: 5,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.27 : 9,702.08 = 4,046.12 : x
  2. Step 2: Convert to fraction form
    7,030.27/9,702.08 = 4,046.12/x
  3. Step 3: Cross multiply
    7,030.27x = 9,702.08 × 4,046.12
  4. Step 4: Simplify right side
    7,030.27x = 39,255,762.74
  5. Step 5: Solve for x
    x = 39,255,762.74/7,030.27
  6. Step 6: Final answer
    x = 5,583.82

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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.