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Finding the Fourth Proportional to 9,547.83, 14,302.57 and 4,867.65

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Solution

The fourth proportional to 9,547.83, 14,302.57 and 4,867.65 is: 7,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.83 : 14,302.57 = 4,867.65 : x
  2. Step 2: Convert to fraction form
    9,547.83/14,302.57 = 4,867.65/x
  3. Step 3: Cross multiply
    9,547.83x = 14,302.57 × 4,867.65
  4. Step 4: Simplify right side
    9,547.83x = 69,619,904.86
  5. Step 5: Solve for x
    x = 69,619,904.86/9,547.83
  6. Step 6: Final answer
    x = 7,291.70

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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.