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Finding the Fourth Proportional to 9,459.87, 13,045.95 and 7,328.58

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Solution

The fourth proportional to 9,459.87, 13,045.95 and 7,328.58 is: 10,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.87 : 13,045.95 = 7,328.58 : x
  2. Step 2: Convert to fraction form
    9,459.87/13,045.95 = 7,328.58/x
  3. Step 3: Cross multiply
    9,459.87x = 13,045.95 × 7,328.58
  4. Step 4: Simplify right side
    9,459.87x = 95,608,288.25
  5. Step 5: Solve for x
    x = 95,608,288.25/9,459.87
  6. Step 6: Final answer
    x = 10,106.72

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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.