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Finding the Fourth Proportional to 7,037.19, 9,710.28 and 6,848.19

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Solution

The fourth proportional to 7,037.19, 9,710.28 and 6,848.19 is: 9,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.19 : 9,710.28 = 6,848.19 : x
  2. Step 2: Convert to fraction form
    7,037.19/9,710.28 = 6,848.19/x
  3. Step 3: Cross multiply
    7,037.19x = 9,710.28 × 6,848.19
  4. Step 4: Simplify right side
    7,037.19x = 66,497,842.39
  5. Step 5: Solve for x
    x = 66,497,842.39/7,037.19
  6. Step 6: Final answer
    x = 9,449.49

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Half scale
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Double scale
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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.