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Finding the Fourth Proportional to 7,298.40, 10,931.40 and 5,649.60

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Solution

The fourth proportional to 7,298.40, 10,931.40 and 5,649.60 is: 8,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.40 : 10,931.40 = 5,649.60 : x
  2. Step 2: Convert to fraction form
    7,298.40/10,931.40 = 5,649.60/x
  3. Step 3: Cross multiply
    7,298.40x = 10,931.40 × 5,649.60
  4. Step 4: Simplify right side
    7,298.40x = 61,758,037.44
  5. Step 5: Solve for x
    x = 61,758,037.44/7,298.40
  6. Step 6: Final answer
    x = 8,461.86

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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.