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Finding the Fourth Proportional to 9,733.99, 14,547.64 and 7,107.03

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Solution

The fourth proportional to 9,733.99, 14,547.64 and 7,107.03 is: 10,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.99 : 14,547.64 = 7,107.03 : x
  2. Step 2: Convert to fraction form
    9,733.99/14,547.64 = 7,107.03/x
  3. Step 3: Cross multiply
    9,733.99x = 14,547.64 × 7,107.03
  4. Step 4: Simplify right side
    9,733.99x = 103,390,513.91
  5. Step 5: Solve for x
    x = 103,390,513.91/9,733.99
  6. Step 6: Final answer
    x = 10,621.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.