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Finding the Fourth Proportional to 8,461.95, 11,678.68 and 4,926.30

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Solution

The fourth proportional to 8,461.95, 11,678.68 and 4,926.30 is: 6,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.95 : 11,678.68 = 4,926.30 : x
  2. Step 2: Convert to fraction form
    8,461.95/11,678.68 = 4,926.30/x
  3. Step 3: Cross multiply
    8,461.95x = 11,678.68 × 4,926.30
  4. Step 4: Simplify right side
    8,461.95x = 57,532,681.28
  5. Step 5: Solve for x
    x = 57,532,681.28/8,461.95
  6. Step 6: Final answer
    x = 6,798.99

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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.