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Finding the Fourth Proportional to 7,130.88, 9,840.78 and 4,478.40

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Solution

The fourth proportional to 7,130.88, 9,840.78 and 4,478.40 is: 6,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.88 : 9,840.78 = 4,478.40 : x
  2. Step 2: Convert to fraction form
    7,130.88/9,840.78 = 4,478.40/x
  3. Step 3: Cross multiply
    7,130.88x = 9,840.78 × 4,478.40
  4. Step 4: Simplify right side
    7,130.88x = 44,070,949.15
  5. Step 5: Solve for x
    x = 44,070,949.15/7,130.88
  6. Step 6: Final answer
    x = 6,180.30

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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.