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Finding the Fourth Proportional to 6,303.04, 9,414.08 and 4,566.40

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Solution

The fourth proportional to 6,303.04, 9,414.08 and 4,566.40 is: 6,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.04 : 9,414.08 = 4,566.40 : x
  2. Step 2: Convert to fraction form
    6,303.04/9,414.08 = 4,566.40/x
  3. Step 3: Cross multiply
    6,303.04x = 9,414.08 × 4,566.40
  4. Step 4: Simplify right side
    6,303.04x = 42,988,454.91
  5. Step 5: Solve for x
    x = 42,988,454.91/6,303.04
  6. Step 6: Final answer
    x = 6,820.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.