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Finding the Fourth Proportional to 9,064.86, 12,509.19 and 5,533.98

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Solution

The fourth proportional to 9,064.86, 12,509.19 and 5,533.98 is: 7,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.86 : 12,509.19 = 5,533.98 : x
  2. Step 2: Convert to fraction form
    9,064.86/12,509.19 = 5,533.98/x
  3. Step 3: Cross multiply
    9,064.86x = 12,509.19 × 5,533.98
  4. Step 4: Simplify right side
    9,064.86x = 69,225,607.28
  5. Step 5: Solve for x
    x = 69,225,607.28/9,064.86
  6. Step 6: Final answer
    x = 7,636.70

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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.