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Finding the Fourth Proportional to 9,704.76, 14,547.04 and 6,585.04

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Solution

The fourth proportional to 9,704.76, 14,547.04 and 6,585.04 is: 9,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.76 : 14,547.04 = 6,585.04 : x
  2. Step 2: Convert to fraction form
    9,704.76/14,547.04 = 6,585.04/x
  3. Step 3: Cross multiply
    9,704.76x = 14,547.04 × 6,585.04
  4. Step 4: Simplify right side
    9,704.76x = 95,792,807.36
  5. Step 5: Solve for x
    x = 95,792,807.36/9,704.76
  6. Step 6: Final answer
    x = 9,870.71

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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.