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Finding the Fourth Proportional to 9,661.66, 14,482.47 and 5,492.70

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Solution

The fourth proportional to 9,661.66, 14,482.47 and 5,492.70 is: 8,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.66 : 14,482.47 = 5,492.70 : x
  2. Step 2: Convert to fraction form
    9,661.66/14,482.47 = 5,492.70/x
  3. Step 3: Cross multiply
    9,661.66x = 14,482.47 × 5,492.70
  4. Step 4: Simplify right side
    9,661.66x = 79,547,862.97
  5. Step 5: Solve for x
    x = 79,547,862.97/9,661.66
  6. Step 6: Final answer
    x = 8,233.35

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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.