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Finding the Fourth Proportional to 7,577.68, 10,454.16 and 4,784.08

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Solution

The fourth proportional to 7,577.68, 10,454.16 and 4,784.08 is: 6,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.68 : 10,454.16 = 4,784.08 : x
  2. Step 2: Convert to fraction form
    7,577.68/10,454.16 = 4,784.08/x
  3. Step 3: Cross multiply
    7,577.68x = 10,454.16 × 4,784.08
  4. Step 4: Simplify right side
    7,577.68x = 50,013,537.77
  5. Step 5: Solve for x
    x = 50,013,537.77/7,577.68
  6. Step 6: Final answer
    x = 6,600.11

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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.