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Finding the Fourth Proportional to 4,985.96, 7,477.98 and 1,698.60

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Solution

The fourth proportional to 4,985.96, 7,477.98 and 1,698.60 is: 2,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.96 : 7,477.98 = 1,698.60 : x
  2. Step 2: Convert to fraction form
    4,985.96/7,477.98 = 1,698.60/x
  3. Step 3: Cross multiply
    4,985.96x = 7,477.98 × 1,698.60
  4. Step 4: Simplify right side
    4,985.96x = 12,702,096.83
  5. Step 5: Solve for x
    x = 12,702,096.83/4,985.96
  6. Step 6: Final answer
    x = 2,547.57

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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.