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Finding the Fourth Proportional to 6,274.35, 8,657.65 and 3,585.10

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Solution

The fourth proportional to 6,274.35, 8,657.65 and 3,585.10 is: 4,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.35 : 8,657.65 = 3,585.10 : x
  2. Step 2: Convert to fraction form
    6,274.35/8,657.65 = 3,585.10/x
  3. Step 3: Cross multiply
    6,274.35x = 8,657.65 × 3,585.10
  4. Step 4: Simplify right side
    6,274.35x = 31,038,541.02
  5. Step 5: Solve for x
    x = 31,038,541.02/6,274.35
  6. Step 6: Final answer
    x = 4,946.89

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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.