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Finding the Fourth Proportional to 9,784.71, 14,677.06 and 4,590.58

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Solution

The fourth proportional to 9,784.71, 14,677.06 and 4,590.58 is: 6,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.71 : 14,677.06 = 4,590.58 : x
  2. Step 2: Convert to fraction form
    9,784.71/14,677.06 = 4,590.58/x
  3. Step 3: Cross multiply
    9,784.71x = 14,677.06 × 4,590.58
  4. Step 4: Simplify right side
    9,784.71x = 67,376,195.14
  5. Step 5: Solve for x
    x = 67,376,195.14/9,784.71
  6. Step 6: Final answer
    x = 6,885.87

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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.