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Finding the Fourth Proportional to 7,309.63, 10,088.02 and 4,478.84

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Solution

The fourth proportional to 7,309.63, 10,088.02 and 4,478.84 is: 6,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.63 : 10,088.02 = 4,478.84 : x
  2. Step 2: Convert to fraction form
    7,309.63/10,088.02 = 4,478.84/x
  3. Step 3: Cross multiply
    7,309.63x = 10,088.02 × 4,478.84
  4. Step 4: Simplify right side
    7,309.63x = 45,182,627.50
  5. Step 5: Solve for x
    x = 45,182,627.50/7,309.63
  6. Step 6: Final answer
    x = 6,181.25

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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.