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Finding the Fourth Proportional to 10,603.58, 14,624.64 and 7,415.84

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Solution

The fourth proportional to 10,603.58, 14,624.64 and 7,415.84 is: 10,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.58 : 14,624.64 = 7,415.84 : x
  2. Step 2: Convert to fraction form
    10,603.58/14,624.64 = 7,415.84/x
  3. Step 3: Cross multiply
    10,603.58x = 14,624.64 × 7,415.84
  4. Step 4: Simplify right side
    10,603.58x = 108,453,990.30
  5. Step 5: Solve for x
    x = 108,453,990.30/10,603.58
  6. Step 6: Final answer
    x = 10,228.05

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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.