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Finding the Fourth Proportional to 6,312.34, 9,454.38 and 5,076.64

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Solution

The fourth proportional to 6,312.34, 9,454.38 and 5,076.64 is: 7,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.34 : 9,454.38 = 5,076.64 : x
  2. Step 2: Convert to fraction form
    6,312.34/9,454.38 = 5,076.64/x
  3. Step 3: Cross multiply
    6,312.34x = 9,454.38 × 5,076.64
  4. Step 4: Simplify right side
    6,312.34x = 47,996,483.68
  5. Step 5: Solve for x
    x = 47,996,483.68/6,312.34
  6. Step 6: Final answer
    x = 7,603.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.