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Finding the Fourth Proportional to 5,848.52, 8,765.10 and 5,106.24

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Solution

The fourth proportional to 5,848.52, 8,765.10 and 5,106.24 is: 7,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.52 : 8,765.10 = 5,106.24 : x
  2. Step 2: Convert to fraction form
    5,848.52/8,765.10 = 5,106.24/x
  3. Step 3: Cross multiply
    5,848.52x = 8,765.10 × 5,106.24
  4. Step 4: Simplify right side
    5,848.52x = 44,756,697.04
  5. Step 5: Solve for x
    x = 44,756,697.04/5,848.52
  6. Step 6: Final answer
    x = 7,652.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.