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Finding the Fourth Proportional to 10,547.71, 14,550.19 and 6,959.12

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Solution

The fourth proportional to 10,547.71, 14,550.19 and 6,959.12 is: 9,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.71 : 14,550.19 = 6,959.12 : x
  2. Step 2: Convert to fraction form
    10,547.71/14,550.19 = 6,959.12/x
  3. Step 3: Cross multiply
    10,547.71x = 14,550.19 × 6,959.12
  4. Step 4: Simplify right side
    10,547.71x = 101,256,428.08
  5. Step 5: Solve for x
    x = 101,256,428.08/10,547.71
  6. Step 6: Final answer
    x = 9,599.85

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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.