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Finding the Fourth Proportional to 9,312.04, 12,857.16 and 7,653.16

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Solution

The fourth proportional to 9,312.04, 12,857.16 and 7,653.16 is: 10,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.04 : 12,857.16 = 7,653.16 : x
  2. Step 2: Convert to fraction form
    9,312.04/12,857.16 = 7,653.16/x
  3. Step 3: Cross multiply
    9,312.04x = 12,857.16 × 7,653.16
  4. Step 4: Simplify right side
    9,312.04x = 98,397,902.63
  5. Step 5: Solve for x
    x = 98,397,902.63/9,312.04
  6. Step 6: Final answer
    x = 10,566.74

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Double scale
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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.