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Finding the Fourth Proportional to 6,488.90, 8,953.47 and 3,656.06

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Solution

The fourth proportional to 6,488.90, 8,953.47 and 3,656.06 is: 5,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.90 : 8,953.47 = 3,656.06 : x
  2. Step 2: Convert to fraction form
    6,488.90/8,953.47 = 3,656.06/x
  3. Step 3: Cross multiply
    6,488.90x = 8,953.47 × 3,656.06
  4. Step 4: Simplify right side
    6,488.90x = 32,734,423.53
  5. Step 5: Solve for x
    x = 32,734,423.53/6,488.90
  6. Step 6: Final answer
    x = 5,044.68

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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.