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Finding the Fourth Proportional to 7,299.95, 10,064.70 and 4,778.06

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Solution

The fourth proportional to 7,299.95, 10,064.70 and 4,778.06 is: 6,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.95 : 10,064.70 = 4,778.06 : x
  2. Step 2: Convert to fraction form
    7,299.95/10,064.70 = 4,778.06/x
  3. Step 3: Cross multiply
    7,299.95x = 10,064.70 × 4,778.06
  4. Step 4: Simplify right side
    7,299.95x = 48,089,690.16
  5. Step 5: Solve for x
    x = 48,089,690.16/7,299.95
  6. Step 6: Final answer
    x = 6,587.68

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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.