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Finding the Fourth Proportional to 7,758.96, 10,707.16 and 4,572.55

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Solution

The fourth proportional to 7,758.96, 10,707.16 and 4,572.55 is: 6,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.96 : 10,707.16 = 4,572.55 : x
  2. Step 2: Convert to fraction form
    7,758.96/10,707.16 = 4,572.55/x
  3. Step 3: Cross multiply
    7,758.96x = 10,707.16 × 4,572.55
  4. Step 4: Simplify right side
    7,758.96x = 48,959,024.46
  5. Step 5: Solve for x
    x = 48,959,024.46/7,758.96
  6. Step 6: Final answer
    x = 6,310.00

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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.