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Finding the Fourth Proportional to 10,948.16, 15,110.88 and 6,700.16

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Solution

The fourth proportional to 10,948.16, 15,110.88 and 6,700.16 is: 9,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.16 : 15,110.88 = 6,700.16 : x
  2. Step 2: Convert to fraction form
    10,948.16/15,110.88 = 6,700.16/x
  3. Step 3: Cross multiply
    10,948.16x = 15,110.88 × 6,700.16
  4. Step 4: Simplify right side
    10,948.16x = 101,245,313.74
  5. Step 5: Solve for x
    x = 101,245,313.74/10,948.16
  6. Step 6: Final answer
    x = 9,247.70

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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.