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Finding the Fourth Proportional to 7,002.16, 10,503.24 and 6,574.48

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Solution

The fourth proportional to 7,002.16, 10,503.24 and 6,574.48 is: 9,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.16 : 10,503.24 = 6,574.48 : x
  2. Step 2: Convert to fraction form
    7,002.16/10,503.24 = 6,574.48/x
  3. Step 3: Cross multiply
    7,002.16x = 10,503.24 × 6,574.48
  4. Step 4: Simplify right side
    7,002.16x = 69,053,341.32
  5. Step 5: Solve for x
    x = 69,053,341.32/7,002.16
  6. Step 6: Final answer
    x = 9,861.72

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Half 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.