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Finding the Fourth Proportional to 8,064.90, 12,097.35 and 4,776.30

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Solution

The fourth proportional to 8,064.90, 12,097.35 and 4,776.30 is: 7,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.90 : 12,097.35 = 4,776.30 : x
  2. Step 2: Convert to fraction form
    8,064.90/12,097.35 = 4,776.30/x
  3. Step 3: Cross multiply
    8,064.90x = 12,097.35 × 4,776.30
  4. Step 4: Simplify right side
    8,064.90x = 57,780,572.81
  5. Step 5: Solve for x
    x = 57,780,572.81/8,064.90
  6. Step 6: Final answer
    x = 7,164.45

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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.