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Finding the Fourth Proportional to 24,946.65, 37,417.55 and 6,478.65

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Solution

The fourth proportional to 24,946.65, 37,417.55 and 6,478.65 is: 9,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,946.65 : 37,417.55 = 6,478.65 : x
  2. Step 2: Convert to fraction form
    24,946.65/37,417.55 = 6,478.65/x
  3. Step 3: Cross multiply
    24,946.65x = 37,417.55 × 6,478.65
  4. Step 4: Simplify right side
    24,946.65x = 242,415,177.91
  5. Step 5: Solve for x
    x = 242,415,177.91/24,946.65
  6. Step 6: Final answer
    x = 9,717.34

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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.