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Finding the Fourth Proportional to 4,666.76, 6,440.14 and 2,570.92

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Solution

The fourth proportional to 4,666.76, 6,440.14 and 2,570.92 is: 3,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.76 : 6,440.14 = 2,570.92 : x
  2. Step 2: Convert to fraction form
    4,666.76/6,440.14 = 2,570.92/x
  3. Step 3: Cross multiply
    4,666.76x = 6,440.14 × 2,570.92
  4. Step 4: Simplify right side
    4,666.76x = 16,557,084.73
  5. Step 5: Solve for x
    x = 16,557,084.73/4,666.76
  6. Step 6: Final answer
    x = 3,547.88

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Half scale
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Double scale
Find fourth proportional to 4,667.76, 6,441.52 and 2,571.92
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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.