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Finding the Fourth Proportional to 6,477.60, 9,701.16 and 4,280.88

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Solution

The fourth proportional to 6,477.60, 9,701.16 and 4,280.88 is: 6,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.60 : 9,701.16 = 4,280.88 : x
  2. Step 2: Convert to fraction form
    6,477.60/9,701.16 = 4,280.88/x
  3. Step 3: Cross multiply
    6,477.60x = 9,701.16 × 4,280.88
  4. Step 4: Simplify right side
    6,477.60x = 41,529,501.82
  5. Step 5: Solve for x
    x = 41,529,501.82/6,477.60
  6. Step 6: Final answer
    x = 6,411.25

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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.