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Finding the Fourth Proportional to 7,666.71, 10,580.06 and 4,482.20

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Solution

The fourth proportional to 7,666.71, 10,580.06 and 4,482.20 is: 6,185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.71 : 10,580.06 = 4,482.20 : x
  2. Step 2: Convert to fraction form
    7,666.71/10,580.06 = 4,482.20/x
  3. Step 3: Cross multiply
    7,666.71x = 10,580.06 × 4,482.20
  4. Step 4: Simplify right side
    7,666.71x = 47,421,944.93
  5. Step 5: Solve for x
    x = 47,421,944.93/7,666.71
  6. Step 6: Final answer
    x = 6,185.44

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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.