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Finding the Fourth Proportional to 25,696.72, 38,547.65 and 6,977.06

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Solution

The fourth proportional to 25,696.72, 38,547.65 and 6,977.06 is: 10,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.72 : 38,547.65 = 6,977.06 : x
  2. Step 2: Convert to fraction form
    25,696.72/38,547.65 = 6,977.06/x
  3. Step 3: Cross multiply
    25,696.72x = 38,547.65 × 6,977.06
  4. Step 4: Simplify right side
    25,696.72x = 268,949,266.91
  5. Step 5: Solve for x
    x = 268,949,266.91/25,696.72
  6. Step 6: Final answer
    x = 10,466.29

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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.