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Finding the Fourth Proportional to 6,587.80, 9,881.70 and 1,970.80

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Solution

The fourth proportional to 6,587.80, 9,881.70 and 1,970.80 is: 2,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.80 : 9,881.70 = 1,970.80 : x
  2. Step 2: Convert to fraction form
    6,587.80/9,881.70 = 1,970.80/x
  3. Step 3: Cross multiply
    6,587.80x = 9,881.70 × 1,970.80
  4. Step 4: Simplify right side
    6,587.80x = 19,474,854.36
  5. Step 5: Solve for x
    x = 19,474,854.36/6,587.80
  6. Step 6: Final answer
    x = 2,956.20

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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.