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Finding the Fourth Proportional to 8,307.53, 11,464.35 and 4,581.53

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Solution

The fourth proportional to 8,307.53, 11,464.35 and 4,581.53 is: 6,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.53 : 11,464.35 = 4,581.53 : x
  2. Step 2: Convert to fraction form
    8,307.53/11,464.35 = 4,581.53/x
  3. Step 3: Cross multiply
    8,307.53x = 11,464.35 × 4,581.53
  4. Step 4: Simplify right side
    8,307.53x = 52,524,263.46
  5. Step 5: Solve for x
    x = 52,524,263.46/8,307.53
  6. Step 6: Final answer
    x = 6,322.49

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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.