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Finding the Fourth Proportional to 9,869.64, 13,624.16 and 7,037.48

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Solution

The fourth proportional to 9,869.64, 13,624.16 and 7,037.48 is: 9,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.64 : 13,624.16 = 7,037.48 : x
  2. Step 2: Convert to fraction form
    9,869.64/13,624.16 = 7,037.48/x
  3. Step 3: Cross multiply
    9,869.64x = 13,624.16 × 7,037.48
  4. Step 4: Simplify right side
    9,869.64x = 95,879,650.21
  5. Step 5: Solve for x
    x = 95,879,650.21/9,869.64
  6. Step 6: Final answer
    x = 9,714.60

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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.