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Finding the Fourth Proportional to 10,569.04, 15,853.56 and 3,643

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Solution

The fourth proportional to 10,569.04, 15,853.56 and 3,643 is: 5,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.04 : 15,853.56 = 3,643 : x
  2. Step 2: Convert to fraction form
    10,569.04/15,853.56 = 3,643/x
  3. Step 3: Cross multiply
    10,569.04x = 15,853.56 × 3,643
  4. Step 4: Simplify right side
    10,569.04x = 57,754,519.08
  5. Step 5: Solve for x
    x = 57,754,519.08/10,569.04
  6. Step 6: Final answer
    x = 5,464.50

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Double scale
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Similar ratio
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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.