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Finding the Fourth Proportional to 10,670.16, 14,708.05 and 7,307.16

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Solution

The fourth proportional to 10,670.16, 14,708.05 and 7,307.16 is: 10,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.16 : 14,708.05 = 7,307.16 : x
  2. Step 2: Convert to fraction form
    10,670.16/14,708.05 = 7,307.16/x
  3. Step 3: Cross multiply
    10,670.16x = 14,708.05 × 7,307.16
  4. Step 4: Simplify right side
    10,670.16x = 107,474,074.64
  5. Step 5: Solve for x
    x = 107,474,074.64/10,670.16
  6. Step 6: Final answer
    x = 10,072.40

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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.