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Finding the Fourth Proportional to 7,047.60, 9,730.44 and 6,299.16

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Solution

The fourth proportional to 7,047.60, 9,730.44 and 6,299.16 is: 8,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.60 : 9,730.44 = 6,299.16 : x
  2. Step 2: Convert to fraction form
    7,047.60/9,730.44 = 6,299.16/x
  3. Step 3: Cross multiply
    7,047.60x = 9,730.44 × 6,299.16
  4. Step 4: Simplify right side
    7,047.60x = 61,293,598.43
  5. Step 5: Solve for x
    x = 61,293,598.43/7,047.60
  6. Step 6: Final answer
    x = 8,697.09

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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.